{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "########For Decision Tree\n",
    "#############in MLia chap3\n",
    "import os \n",
    "os.chdir(\"/home/lab466/pythons/pyMLIA35/Ch03Dtree\")\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy import * \n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from id3_c45 import DecisionTree\n",
    "#Toy data\n",
    "X = [[1, 2, 0, 1, 0],\n",
    "     [0, 1, 1, 0, 1],\n",
    "     [1, 0, 0, 0, 1],\n",
    "     [2, 1, 1, 0, 1],\n",
    "     [1, 1, 0, 1, 1]]\n",
    "y = ['yes','yes','no','no','no']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9Ib98+RLjxo3jeBCRIEuWLMGaNWtw48YN0VGE0/pC9vPzg4uLCzp06CA6CpFW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\nniETEUkEC5mISCJYyEREEvH/ALaXkUecpkD2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6af7bd8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf = DecisionTree(mode='ID3')\n",
    "clf.fit(X,y)\n",
    "clf.show()\n",
    "#print  (clf.predict(X)  )\n",
    "#['yes' 'yes' 'no' 'no' 'no']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TdBTJys7Ohq2tLdLT0xUzoJ+khUsWCnDkyBFERETgs88+Ex1F0sqVK4eaNWsa/M1dSbpY\nyAauoKAAEydOxH/+8x+UK1dOdBzJ4zoyicRCNnC//fYbrK2tMWDAANFRZIGFTCJxU8+ApaWlYdas\nWdi7dy9UKpXoOLLg4+ODjRs3io5BCsVNPQM2adIkZGVlYcWKFaKjyEZ6ejqqVKmCjIwMGBsbi45D\nCsMjZAMVGxuLNWvW4MqVK6KjyIq1tTUcHR1x9epV1K5dW3QcUhiuIRuoyZMn44svvoCDg4PoKLLD\ndWQShYVsgHbt2oUbN27gk08+ER1Flnx8fHgJNQnBQjYwz549w6RJk7B48WKYmZmJjiNLvr6+PEIm\nIVjIBmDjxo0IDQ1FQUEBfvrpJ3h4eKB79+6iY8lO0f52hQoVcO7cOXC/m/SNZ1nIWEFBAT7++GPc\nuXMH5ubmqFq1KlauXInTp0/D29tbdDzZqlu3LpKTk3H27Fm4u7uLjkMKwiNkGTM2NoaRkRG+/fZb\nrFq1CidPnkT16tVRrVo10dFka+PGjYiJiYGRkRHXkUnvWMgyVlhYCHNzc1y9ehU3btzAjRs30KhR\nI+zbt090NNnq2bMnCgsLYWpqig0bNoiOQwrDQpYxIyMjdO/eHfv27cO4cePw9ddfw8bGBk+ePBEd\nTbZMTU0BAIMHD8bu3bsFpyGlYSHLXJcuXRAfH4/bt29j/PjxsLS0xL1790THki0Tk7+vlfroo4+Q\nm5uLOXPmCE5ESsJClrmcnBzcuHEDXbp0Qfv27bFjxw40btxYdCxZU6vVqF69OkxNTREeHo68vDzR\nkUgheOm0zC1cuBAtWrTAqlWrcPjwYbRq1YrD1ctIpVKhsLAQjRs3xtSpU4uXMYh0jae9ydjdu3fR\nsGFDREREoHr16qLjGJzJkyfDwcEBgYGBoqOQQnDJQsYCAwPx0UcfsYx1hJdQk75xyUKmTp06hSNH\njiA2NlZ0FIPl6+uLb775RnQMUhAuWchQYWEhmjdvjokTJ2LYsGGi4xis/Px8WFlZ4cGDB7C0tBQd\nhxSASxYytHr1ahgbG2Po0KGioxg0ExMT1KtXDxcuXBAdhRSChSwzjx8/xvTp07F06VIYGfEfn675\n+vpyHZn0hv9Gy8wPP/yAzp07o3nz5qKjKAKH1ZM+cVNPRm7cuIFff/0VFy9eFB1FMXx8fLB8+XLR\nMUghuKknI/369UOzZs3wxRdfiI6iGDk5ObCxsUFaWhosLCxExyEDxyULmTh48CAuXLiASZMmiY6i\nKBYWFvD09MTly5dFRyEFYCHLQH5+PgICArBgwQIepQnAdWTSFxayDPzyyy+oXLky+vXrJzqKIrGQ\nSV+4qSdxqampmD17Ng4cOACVSiU6jiL5+Phg/fr1omOQAnBTT+ImTJiA/Px8/Pe//xUdRbEyMjLg\n4uKCzMxMGBsbi45DBoxHyBJ25coVrFu3DjExMaKjKJqVlRWcnZ0RFxeHOnXqiI5DBoxryBKlVqsx\nadIkzJgxA/b29qLjKB7XkUkfWMgStWPHDty5cwcff/yx6CgEXkJN+sFClqDc3FxMnjwZS5Ys4d0q\nJIJHyKQPLGQJWrZsGby9vdG1a1fRUej/+Pj44Pz58+AeOOkSz7KQmMTERNStWxenTp2Cl5eX6Dj0\nHBcXF5w6dQrVqlUTHYUMFI+QJebLL7/EqFGjWMYSxHVk0jWe9iYhkZGR2LFjB+Li4kRHoVcoWkfu\n37+/6ChkoHiELBFqtRoTJ07Ed999BysrK9Fx6BW4sUe6xkKWiPDwcGRlZWH06NGio9Br8C7UpGvc\n1JOArKwseHt7IywsDG3atBEdh15DrVbD1tYWsbGxcHR0FB2HDBCPkCXgP//5D1q2bMkyljiVSsVl\nC9IpFrJgCQkJWLZsGebPny86CmmAhUy6xEIWbNq0afjkk0/g7u4uOgppgKe+kS6xkAU6fvw4Tpw4\ngc8//1x0FNIQj5BJl7ipJ0hhYSGaNm2Kzz77DEOGDBEdhzRUUFAAS0tL3L9/n6cnktbxCFmQ0NBQ\nWFhYYPDgwaKjUAkYGxujfv36OH/+vOgoZIBYyAJkZmbiyy+/xNKlS3lbJhny9fXlsgXpBAtZgO++\n+w5+fn5o0qSJ6ChUClxHJl3hLAs9u3btGoKDg3H58mXRUaiUfHx88OOPP4qOQQaIm3p61rt3b7Ru\n3ZpnVshYTk4ObGxskJqainLlyomOQwaESxZ6tG/fPkRHR2PixImio1AZWFhYwMvLi3/LIa1jIetJ\nXl4eJk2ahIULF8Lc3Fx0HCojriOTLrCQ9eR///sfXFxc0Lt3b9FRSAtYyKQL3NTTg5SUFHz77bc4\ndOgQT3MzEL6+vli7dq3oGGRguKmnB+PHj4eRkRF35g1IZmYmnJ2dkZGRARMTHteQdvA3SccuXbqE\njRs3IiYmRnQU0iJLS0u4uLggLi4OdevWFR2HDATXkHVIrVYjICAAs2bNgp2dneg4pGW8gwhpGwtZ\nh7Zv347ExESMGzdOdBTSAV5CTdrGQtaRnJwcTJkyBUuWLOEao4HimRakbSxkHVmyZAnq16+Pzp07\ni45COlJUyNwXJ23hWRY68ODBA9SvXx+nT59GzZo1RcchHXJ1dcXx48fh4eEhOgoZAB4h68D06dMx\nZswYlrECcB2ZtImFrGVnz57F3r178eWXX4qOQnrAdWTSJhayFqnVakyYMAHff/89LC0tRcchPWAh\nkzaxkLVo7dq1yMvLw8iRI0VHIT3hXahJm7ippyVPnz6Ft7c3wsPD0apVK9FxSE/UajXs7OwQHR0N\nJycn0XFI5niErCXz5s1DmzZtWMYKo1KpuGxBWsNC1oJbt25h+fLlmDdvnugoJAAvoSZtYSFrweef\nf46JEyfCzc1NdBQSgKe+kbawkMvo6NGj+Ouvv/DZZ5+JjkKCcMmCtIWFXAYFBQWYOHEi/vOf/6B8\n+fKi45AgXl5eSExMRHp6uugoJHMs5DIICgqCpaUlBg4cKDoKCWRsbIz69evj/PnzoqOQzLGQSyk9\nPR2zZs3CkiVLeFsm4joyaQULuZS+/fZb9OrVC76+vqKjkARwHZm0gYN6SyEuLg4rV67ElStXREch\nifDx8cHSpUtFxyCZ45V6pdCjRw907NgRU6ZMER2FJCI3NxfW1tZITU1FuXLlRMchmeKSRQnt3r0b\n165dw6effio6CkmIubk5atWqhUuXLomOQjLGQi6BvLw8TJo0CYsWLYKZmZnoOCQxXEemsmIhl8Dy\n5ctRrVo19OjRQ3QUkiBeQk1lxU09DSUnJ+P777/HsWPHeJobvZKvry/WrFkjOgbJGDf1NDRu3DhY\nWFhgyZIloqOQRD1+/BhOTk7IyMjgncapVPhbo4ELFy5g69atiI2NFR2FJKxSpUpwdXVFbGws6tWr\nJzoOyRDXkN9CrVYjICAAs2fPho2Njeg4JHFcR6ayYCG/xZYtW/Do0SN88MEHoqOQDPASaioLFvIb\nZGdn47PPPsOSJUu4Jkga4alvVBYs5DdYtGgRfH190bFjR9FRSCZ8fHxw/vx5FBYWio5CMsSzLF7j\n3r17aNCgAc6ePQsPDw/RcUhG3NzccOTIEdSoUUN0FJIZHiG/xhdffIEPP/yQZUwlxmULKi0W8iuc\nPn0aBw8exBdffCE6CskQC5lKi4X8D4WFhZg4cSLmzJmDSpUqiY5DMsRT36i0WMj/UHTp67BhwwQn\nIbniqW9UWtzUe87jx4/h7e2NzZs3o0WLFqLjkEyp1WrY29vj8uXLcHZ2Fh2HZIRHyM+ZM2cOOnbs\nyDKmMlGpVFxHplJhIf+f+Ph4rFixAnPnzhUdhQwA15GpNFjI/2fq1KmYPHkyXF1dRUchA8B1ZCoN\nFjKAQ4cOISoqCpMnTxYdhQwElyyoNBRfyPn5+QgICMCCBQt4c0rSGk9PTyQlJSEtLU10FJIRxRfy\nr7/+CltbW/Tv3190FDIgxsbGaNiwIc6fPy86CsmIogs5LS0Ns2fPxpIlS3hbJtI6LltQSSm6kL/+\n+mv069cPjRo1Eh2FDBALmUpKsUN+o6OjERYWhujoaNFRyED5+Phg0aJFomOQjCjySj21Wo1u3brB\nz88PAQEBouOQgcrNzYW1tTUePXqE8uXLi45DMqDIJYudO3fi9u3bGD9+vOgoZMDMzc3h7e2NS5cu\niY5CMqG4Qn727BkmT56MxYsXw9TUVHQcMnBcR6aSUEwh37x5EwDw448/wtPTE35+foITkRI8fwm1\nAlcHqYQUUch3795Fx44dkZiYiDlz5nCjhXROrVYjPj6++BLqc+fOoV+/fqJjkcQpopBTU1NRsWJF\nzJgxAyNHjkT58uWRlZUlOhYZsGfPnqFVq1Z4/Pgxrly5gq1bt8LLy0t0LJI4RRRyRkYGTExM8Pvv\nv6N8+fLw8fHB9evXRcciA2Zubo7Q0FCMGTMGzs7O2L59O7p27So6FkmcIgo5LS0NV69ehYWFBc6c\nOYPIyEg0aNBAdCwycN26dcOYMWOQkZGBq1evonXr1qIjkcQpopAvXLiAnJwczJw5E3v27IG7u7vo\nSKQQX331FWxsbODq6gpzc3PRcUjiFHFhSE5ODlJSUlClShXRUUiBkpKSkJSUhHr16omOQhKniEIm\n0ie1Wl08rKqwsBAqlQoqlar4tLei/69Wq2FkZPTSY0i5ZDfLIiEhAVevXkVCQgISEhJw+/Zt3L9/\nH4WFhS/9rEqlgrOzM6pWrVr8v5o1a6JGjRoCkpMS/O9//8OECRMQFBQENzc39OrVC8OGDcMXX3yB\nd999F9bW1ti2bRvGjx+PEydOYO/evThw4ACmT5+OdevW4b333hP9Fkgg2RRyYWEh/v3vf2P79u3w\n9PSEg4MDHBwc4OLigoYNG8LY2PiVj0lJSUFiYiIuXbqEpKQkXLt2Da1atcKGDRu4pkdatXfvXsyc\nORPz58/HtGnTkJubi9mzZ2P9+vWoVasWPvzwQzx69AjVqlVD69at8emnn6Jt27aoXLky5s2bB39/\nf1SvXh2+vr6i3woJIptC3rBhAyIiIrBt27YyDWp59uwZAgMDsXz5ct6yibSqatWqMDExwaNHjxAa\nGorc3Fy4uLigRYsWuHPnDjw9PaFWq9G1a1d4eXnB2NgYderUgY2NDTZt2gQ7Ozs4OjqKfhskkGzO\nsjh69Cg6d+5c5qlZZmZm6Nq1K44ePaqlZER/q1WrFjp16oSjR4/Czs4OLi4uAAALCwt4enoC+HsZ\nrXbt2sV/o3N3d4elpSWOHDmC/v37Fz+GlEk2hRwVFYVatWpp5blq1arFW+uQ1q1btw67d+/G119/\n/crv5+bmIiAgAEOGDMHMmTNfmG0xf/58LF++HIcPH9ZXXJIg2RRyTEwMatasqZXnqlq1KpKSkvD0\n6VOtPB8RAPTo0QPe3t5YsWLFK7+/e/duODg4YN26dXj8+DH++uuv4u8tXrwYnTt3RsuWLfUVlyRI\nNmvIeXl5sLCwAACsWrUKlSpVQr9+/bB69WqYmpoiKioKKSkpqFWrFqZNm4a0tDQEBgYiNzcX3t7e\nCAwMLH4uIyMjmJmZ4dmzZ6hQoYKot0QGpqCgAHl5ecXLEbGxsfjvf/+LZcuWYezYsbC3t0enTp0A\nAE2aNEFERARatGgBADAxMcGzZ89eebYQKYdsjpCf5+fnh/379wP4e205MzMTNWrUQHBwMFJSUnDt\n2jVERUWhRo0aCA0NRePGjfmLTjq3b98+3LhxA/7+/gAAb29vuLq6Yt68efDx8UFmZiYqVqwIAKhY\nsSIyMjKKHzt+/HgcO3YMZ8+eFZKdpEGWhVy5cmWYmJggMjISDg4OePToEY4cOYKxY8fi3r17SEpK\nwjvvvAMACAgIwM2bN4tPwCfSlcGDB6NXr1746quvir82aNAgbNq0Cf3794epqSlu3boFtVqNJ0+e\nwNrauvjnpk6diokTJ6J9+/YCkpNUyKalKlWqhPT09OI/+/n5Yfbs2ejevTvc3d0xZMgQ/PLLLxg7\ndiwcHR1x/vx5dO3aFUuWLMHp06dx9+7d4sfm5ubi2bNnvM8ZadWVK1ewe/dudOnSpfhrK1aswL//\n/W/MmDEDcXFx+N///oejR4/i7NmzaNKkSfHPdevWDWvXrsWdO3dERCeJkE0hN2zYEHFxccV/bt++\nPQoKCtA0vreYAAAe10lEQVSyZUv069cPJ0+ehL+/P7Zu3QonJydUrVoVy5Ytw4gRI2BrawsnJ6fi\nx16/fh01atTghSGkVcnJycjPz4eHhwcA4MSJE7CwsMCHH36Ia9euwdXVFWZmZpg1axYsLS3RrFmz\n4sd6eXnh8ePHSEtLExWfJEA2sywCAwORmpqKDz/8EHfv3kVgYCC6d++OoUOHlvi5tmzZgjt37mDV\nqlU6SEpKNnHiRBw7dgy//fZb8deuXr2KSZMmoVOnTrC2tsbq1auxceNG2NvbF/9M37598cknn2Da\ntGkiYpNEyOYIuU+fPti+fTsiIiJQuXJlrFmzpsRlnJeXh8uXL2Pt2rXo37+/jpKSUu3fvx9hYWH4\n/PPP8eeff2LPnj0AgDVr1sDd3b34vOMqVaogPDwcarUaW7ZswcWLFzFz5kzMmTOH58crnGxOe2vZ\nsiV+/PFHfP3117h+/TosLS3h5OQEJycn2NnZvXKWRUFBAVJTU5GYmIiHDx8iLS0NVatWRWBgIPr2\n7SvgXZAhc3FxgZGREbZt24YjR46gYsWKiIyMxO7du1G/fn0cPXoUhYWFsLOzw+rVq5GYmIjbt2/j\n4cOH6NixIypWrAg7OzvRb4MEks2SxfMKCwuRmJiIO3fuICEhAQ8ePEBBQcFLP1c07c3NzQ1ubm5w\ndnZ+ZXETacu5c+cwY8YMLFy4ELa2tujVqxeys7MRFRWFZs2awd7eHnv27IGrqyvq16+PzZs3Izo6\nGt988w2WLVvGSYQKJ5sj5OcZGRnB2dkZzs7OL2yMEInm4+ODnTt3Fv/Z2toaEydOhImJCTp06FB8\nFD1lyhRcuXIFlSpVQvPmzV94DCmXbNaQieQmISEBERER6Nev30vfGz58OLZu3YrHjx8LSEZSxUIm\n0pHQ0FAMHjwY5cqVe+l7jo6O6NChA8LDwwUkI6liIRPpQGFhIUJCQoovo34Vf39/BAcH6zEVSR0L\nmUgHDh8+DCsrqzfe/cPPzw+3bt1CTEyMHpORlLGQiXQgODgYY8aMeeONS01MTDBixAgeJVMxFjKR\nlqWlpWHnzp0aXbjk7++P1atXIy8vTw/JSOpYyERatnbtWnTr1k2jizy8vLzg5eXF094IAAuZSOuC\ng4PfuJn3T/7+/ggKCtJhIpILFjKRFp0/fx4pKSnFdwbRxMCBA3HixAncv39fh8lIDljIRFoUHByM\nUaNGlegS/QoVKmDAgAGcPkgsZCJtycnJwdq1azF69OgSP3bMmDEIDg6GDEfLkBaxkIm0ZPv27WjU\nqBGqVatW4sc2b94cJiYmOHHihPaDkWywkIm0JCgoCGPGjCnVY1UqFcaMGcPNPYWT5bQ3Iqm5ffs2\nIiMjsX379lI/x/Dhw+Hl5YXMzExYWlpqMR3JBY+QibQgNDQUQ4YMeeUgIU05ODigY8eOHDikYCxk\nojIqGiRU2uWK53HgkLKxkInK6NChQ7CxsYGPj0+Zn6tbt25ISEhAdHS0FpKR3LCQicqoLJt5/2Ri\nYoKRI0fyKFmhWMhEZZCamordu3eX+A7obzJ69GisXr0az54909pzkjywkInKYO3atfDz84Otra3W\nntPT0xPe3t4cOKRALGSiMijpICFNceCQMrGQiUrp3LlzePToUYkGCWlqwIABOHXqFO7du6f15ybp\nYiETlVJwcDBGjx4NIyPt/2vEgUPKxEImKoWcnBysW7euVIOENMWBQ8rDQiYqhW3btsHX1xfu7u46\ne41mzZrBzMwMx48f19lrkLSwkIlKISgoSCebec/jwCHlYSETldCtW7dw7tw59O3bV+evNWzYMGzf\nvh2ZmZk6fy0Sj4VMVEJFg4QsLCx0/loODg7o1KkT1q9fr/PXIvFYyEQlUFBQoLVBQpoq2twjw8dC\nJiqBQ4cOwc7ODo0aNdLba7777ru4c+cOrly5orfXJDFYyEQloM1BQpoyMTHBqFGjeJSsACxkIg2l\npqZiz549Wh0kpKnRo0djzZo1HDhk4FjIRBoKCwtD9+7dYWNjo/fXrlmzJmrXro0//vhD769N+sNC\nJtKQrgYJaYp3EzF8LGQiDURFRSE9PR0dO3YUlmHAgAH4888/OXDIgLGQiTQQFBSks0FCmipfvjwG\nDhyIlStXCstAusVCJnqL7OxsrF+/HqNGjRIdpfic5MLCQtFRSAdYyERvsXXrVjRp0gRVq1YVHQVN\nmzaFhYUFBw4ZKBYy0VuI3sx7HgcOGTYWMtEb3Lx5E+fPn9fLICFNDRs2DL///jsyMjJERyEtYyET\nvUFoaCiGDh0Kc3Nz0VGKVa5cGZ07d+bAIQPEQiZ6DRGDhDTFgUOGiYVM9BoHDx5E5cqV0bBhQ9FR\nXvLuu+/i3r17uHz5sugopEUsZKLXEDFISFPGxsYcOGSAWMhEr/Do0SPs3bsXQ4YMER3ltThwyPCw\nkIleISwsDD169BAySEhTNWrUQN26dfH777+LjkJawkIm+ge1Wi3p5YrnceCQYWEhE/1DVFQUHj9+\njPbt24uO8lbvvfceTp8+jbt374qOQlrAQib6BykMEtJU+fLl8a9//YsDhwyE9H/jiPQoOzsb4eHh\nGDlypOgoGuPAIcPBQiZ6zpYtW9C0aVNJDBLSVJMmTVChQgUcO3ZMdBQqIxYy0XOkNEhIUyqVCv7+\n/hw4ZABYyET/Jz4+HhcvXkSfPn1ERymxYcOG4Y8//uDAIZljIRP9HykOEtKUvb09unTpgnXr1omO\nQmXAQibC34OEQkNDZXHu8etw4JD8sZCJAOzfvx+Ojo5o0KCB6Cil1qVLFzx48ACXLl0SHYVKiYVM\nBHlu5v1T0cAhbu7JFwuZFC8lJQX79u2T9CAhTY0ePRphYWHIzc0VHYVKgYVMihcWFoaePXvC2tpa\ndJQy8/DwQP369TlwSKZYyKRochokpCkOHJIvFjIpWmRkJJ48eYJ27dqJjqI17733Hs6cOYM7d+6I\njkIlxEImRQsKCoK/v78sBglpqly5chg0aBAHDsmQ4fwWEpVQVlaW7AYJaapo2YIDh+SFhUyKtWXL\nFjRv3hxubm6io2hd48aNUalSJRw9elR0FCoBFjIpliGce/w6HDgkTyxkUqQbN27g8uXL6N27t+go\nOjNs2DDs2LED6enpoqOQhljIpEghISF4//33ZTlISFN2dnZ49913OXBIRljIpDhFg4QMdbnieRw4\nJC8sZFKcffv2wcXFBfXr1xcdRec6d+6MxMREXLx4UXQU0gALmRTHkDfz/okDh+SFhUyKkpycjP37\n9xvEICFNjRo1CmvXruXAIRlgIZOihIWFoVevXrCyshIdRW88PDzQoEEDbN++XXQUegsWMimGIQ4S\n0hQ39+SBhUyKERERgaysLLRt21Z0FL3r168fzp49i4SEBNFR6A1YyKQYhjhISFPlypXD4MGDOXBI\n4pT3m0mKlJWVhQ0bNhjkICFNceCQ9LGQSRE2b96MFi1aoEqVKqKjCOPr6wsrKyscOXJEdBR6DRYy\nKYJSN/Oex4FD0sdCJoN3/fp1REdHo1evXqKjCPf+++9j586dSEtLEx2FXoGFTAYvJCQEw4YNg5mZ\nmegowtnZ2aFr164cOCRRLGQyaAUFBVi5cqViLpXWxJgxY7hsIVEsZDJoe/fuhaurK+rVqyc6imR0\n6tQJycnJOH/+vOgo9A8sZDJoShokpCljY2OMHj2aV+5JEAuZDFZycjIOHDiAwYMHi44iOaNHj8ba\ntWuRk5MjOgo9h4VMBmvNmjXo3bu3ogYJaapatWpo1KgRBw5JDAuZDJKSBwlpigOHpIeFTAbpzJkz\nyM3NVeQgIU317dsXkZGRuH37tugo9H9YyGSQgoODMXr0aKhUKtFRJIsDh6SHhUwG5+nTp9i4caOi\nBwlpyt/fHyEhIRw4JBEsZDI4mzdvRsuWLeHq6io6iuT5+vrC2toahw8fFh2FwEImA8TNvJLhwCHp\nYCGTQbl27RpiY2PRs2dP0VFk4/3338euXbs4cEgCWMhkUDhIqORsbW3RrVs3rF27VnQUxWMhk8HI\nz8/nIKFS4sAhaWAhk8HYu3cv3NzcULduXdFRZKdTp0549OgRzp07JzqKorGQyWAEBwdzM6+UjIyM\nOHBIAkxEByAqi40bN+Lp06fo2rUrDh48iJCQENGRXqBWq6FSqRATEyM6yluNHj0a9erVQ7Vq1fDx\nxx+jXLlyoiMpDguZZKmgoAAff/wx7ty5A3Nzc6xevRpt2rSBpaWl6GgvKLpScMCAAWjRogVcXFwE\nJ3o1tVqNX375BeXKlcOaNWuQlJSEyZMnw9HRUXQ0ReGSBcmSsbExjIyM8O2332LlypW4dOkSzMzM\nJDlOcuPGjYiJicHRo0dFR3ktlUqFp0+fYty4cbC0tERkZCRMTHi8pm8sZJKlwsJCmJub4+rVq4iO\njoaZmRns7e2xb98+0dFe0rNnTxQWFiI7OxvR0dGi47ySWq1G79690alTJ1y+fBl5eXlIS0uDWq0W\nHU1R+J9AkiUjIyN0794d69evR25uLj744ANkZGTgyZMnoqO9xNTUFADQuHFjSf4HA/j7CPmdd96B\nubk5OnfujKioKNSsWRPA36cT8mhZP3iETLLVpUsX5ObmYsuWLfjggw9gaWmJe/fuiY71kqIy8/T0\nhLW1NebMmSM40auZm5sDAJo1a4a0tDTcv38fkyZNQkREhOBkysFCJtlSqVRo1qwZqlSpgkGDBmHH\njh1o3Lix6FivVPRX/65du2LLli3Iy8sTnOj1bGxskJGRAT8/PzRq1AgtWrQQHUkx+PcQkrXNmzdj\n/vz5sLa2RqtWrYqP8qRGpVJBrVbDxcUFp0+fhrGxsehIr1W5cmX07t0bxsbGHGGqZyxkkq2rV68i\nLi4OPXr0kMXsiqJT4KRcxsDfm5DvvPMOPDw8kJqaCltbW9GRFINLFiRbISEhGD58uCzKWE5UKhVs\nbW3h5+fHgUN6xkImWeIgId3jwCH9YyGTLO3Zswfu7u6oU6eO6CgGq2PHjkhLS+PAIT1iIZMscZCQ\n7hUNHOJRsv6wkEl2EhMTcfjwYfzrX/8SHcXgjRo1CuvXr5fkJemGiIVMsrNmzRr07dtXcoOEDJG7\nuzt8fX2xdetW0VEUgYVMsqJWqxEUFMTNPD0aM2YM5yTrCQuZZOX06dPIz89H69atRUdRjD59+uDc\nuXO4deuW6CgGj4VMshIcHAx/f//iiyxI9ywsLDB06FCEhoaKjmLwWMgkG0+ePMGmTZt4Oa8A/v7+\nCAkJQUFBgegoBo2FTLKxadMmtG7dGs7OzqKjKE6jRo1gb2+PQ4cOiY5i0FjIJBtBQUE891ggf39/\nnpOsYyxkkoWrV6/i2rVr6NGjh+goijV06FDs2bMHjx49Eh3FYLGQSRaCg4MxfPjw4rtvkP7Z2Nig\ne/fuHDikQyxkkrz8/HysWrWK5x5LQNHAId5rTzdYyCR5u3fvRrVq1VC7dm3RURSvQ4cOyMjI4MAh\nHWEhk+RxkJB0cOCQbrGQSdISExNx5MgRDhKSkKKBQ9nZ2aKjGBwWMkna6tWr0a9fP1SqVEl0FPo/\nVatWRZMmTThwSAdYyCRZHCQkXRw4pBssZJKs06dPo7CwEO+8847oKPQPffr0wYULF3Dz5k3RUQwK\nC5kkq+jomIOEpMfc3JwDh3SAhUyS9OTJE2zevBkjRowQHYVegwOHtI+FTJK0ceNGtGnThoOEJKxh\nw4ZwcHDAwYMHRUcxGCxkkiQOEpIHDhzSLhYySU5cXByuX7+O7t27i45CbzF06FDs3buXA4e0hIVM\nkhMcHIwRI0ZwkJAMWFtbo0ePHggLCxMdxSCwkElS8vLyOEhIZjhwSHtYyCQpu3fvhoeHB7y9vUVH\nIQ21b98ejx8/RlRUlOgossdCJknhICH54cAh7WEhk2Q8fPgQR48excCBA0VHoRIaNWoUwsPDOXCo\njFjIJBmrV69G//79OUhIhtzc3NC0aVNs2bJFdBRZYyGTJHCQkPxx4FDZsZBJEv78808AQKtWrQQn\nodLq3bs3Ll68iPj4eNFRZIuFTJLAQULyZ25ujvfff58Dh8qAhUzCPXnyBFu2bOEgIQPg7++P0NBQ\nDhwqJRYyCbdhwwa0bdsWTk5OoqNQGTVo0ACOjo7Yv3+/6CiyxEIm4XjusWHx9/fn5l4psZBJqNjY\nWNy4cYODhAzIkCFDsG/fPqSkpIiOIjssZBKqaJCQiYmJ6CikJdbW1ujZsycHDpUCC5mE4SAhw8WB\nQ6XDQiZhdu3ahZo1a6JWrVqio5CWtWvXDk+ePEFkZKToKLLCQiZhuJlnuIyMjHg3kVJgIZMQDx48\nwLFjxzhIyIAVDRzKysoSHUU2WMgkxOrVq/Hee++hYsWKoqOQjlSpUgXNmzfnwKESYCGT3nGQkHJw\n4FDJsJBJ706dOgUjIyO0bNlSdBTSsV69euHy5cu4ceOG6CiywEImveMgIeXgwKGSYSGTXj1+/Bhb\nt27lICEF4cAhzbGQSa82bNiA9u3bw9HRUXQU0pP69evD2dkZ+/btEx1F8ljIpFfBwcHczFMgDhzS\nDAuZ9CYmJgY3b96En5+f6CikZ0OGDMH+/fuRnJwsOoqksZBJb0JCQjhISKGsrKzQq1cvDhx6CxYy\n6QUHCREHDr0dC5n0YufOnfD09ISXl5foKCRI27ZtkZWVhYiICNFRJIuFTHrBQULEgUNvx0ImnXvw\n4AGOHz+OAQMGiI5Cgo0cORIbNmzgwKHXYCGTzq1atQoDBgzgICFClSpV0KJFC2zevFl0FEliIZNO\nqdVqnntML+DAoddjIZNOnTx5EsbGxmjRooXoKCQRvXr1wpUrVzhw6BVYyKRTHCRE/2RmZoZhw4bx\nKPkVWMikM48fP8a2bds4SIhe4u/vj5UrV3Lg0D+wkElnwsPD0aFDBzg4OIiOQhJTr149uLq6Yu/e\nvaKjSAoLmXSGm3n0Jhw49DIWMulETEwMbt26hW7duomOQhI1ePBgHDhwgAOHnsNCJp0IDg7GyJEj\nOUiIXsvKygq9e/fGmjVrREeRDBYyaV1eXh5Wr17N5Qp6Kw4cehELmbRu586d8PLygqenp+goJHFt\n27ZFTk4Ozp49KzqKJLCQSeuCgoI4SIg0olKpOHDoOSxk0qr79+/j5MmTHCREGhs5ciQ2btzIgUNg\nIZOWFQ0SqlChgugoJBOurq5o2bIlNm3aJDqKcCxk0hoOEqLS4sChv7GQSWtOnDgBU1NTNG/eXHQU\nkpmePXsiJiYG169fFx1FKBYyaU3RZh4HCVFJceDQ31jIpBWZmZnYvn07hg0bJjoKyVTRwKH8/HzR\nUYRhIZNWhIeHo2PHjhwkRKVWt25duLm5KXrgEAuZtIKbeaQNSh84xEKmMouOjkZCQgK6du0qOgrJ\n3ODBg3Hw4EEkJSWJjiIEC5nKjIOESFssLS3Rp08fxQ4cYiFTmTx79oyDhEirlDxwiIVMZbJz5054\ne3ujZs2aoqOQgWjTpg2ePXuGM2fOiI6idyxkKhMOEiJtU/LAIRYyldr9+/dx6tQpvPfee6KjkIEZ\nOXIkNm3ahKdPn4qOolcsZCq1lStXYuDAgRwkRFrn4uKCVq1aKW7gEAuZSoWDhEjXijb3lISFTKVy\n/PhxmJubo1mzZqKjkIHq0aMH4uLicPXqVdFR9IaFTKXCQUKka2ZmZhg+fDhCQkJER9EbFjKVWGZm\nJn7//XcOEiKdU9rAIRYyaazoFjvr169Hp06dULlyZcGJyNDVqVMH7u7u2LNnDwAY/MUiLGTSWKdO\nnRAXF8fNvBIKDQ3Fr7/+Wvzn7777Drt27RKYSF6KBg5FRESgb9++ouPoFAuZNFaxYkUcPXoUd+/e\nRfXq1fHtt9+KjiQLTZo0wcyZM5GXl4fMzEwsWrQIPj4+omPJwvz589G5c2ccOnQIkZGRMDc3Fx1J\np1jIpDFnZ2ds2bIF7777Ljp27Ag3NzfRkWShXr16aNeuHS5cuIDDhw9jxIgRcHZ2Fh1LFrKysuDn\n54fOnTtj165dBv+5cTwXaaxy5coIDw9HhQoVEBISgj59+oiOJBszZ85E8+bNoVarER4eLjqObMye\nPRvW1tb44YcfkJ2djenTp4uOpFMsZNLYkydPUFBQgG3btqFt27ai48hKvXr14OHhAScnJ4M/ytO2\ngIAA2NvbY/jw4cjNzRUdR6dUakPftiStuXPnDu7fv8+7SpdSTk4OjI2NYWpqKjqKLG3cuBEtWrQw\n6KUyFjIRkURwyYIAAIWFhUhOTkZCQgJSU1Nf+TNmZmZwdXWFm5sbypUrp+eE8qNWq5GcnIy4uLji\nc7iLVKpUCd7e3rC1tRWUTn4KCgpw69Yt3Lx5EwUFBS98z8nJCV5eXrL/vWQhK5RarcaaNWsQFBSE\nhIQE3L9/HxUqVICTkxOsra1feUl0bm4ukpOT8fDhQ1SsWBFVqlQpPqXL3d1dwLuQHrVajbCwMPz0\n00+Ii4uDWq2Gh4cHypcv/8LPZWZm4ubNm7CwsEDt2rXx+eefo2fPnoJSS9fTp0/xzTffYMeOHYiP\nj4etrS2qVKnywrKPWq1GYmIi7t69C2dnZzRp0gRz5syR5U0TWMgK9dNPP+HHH3/EuHHjUK1aNTg6\nOsLCwkKjxxYWFiItLQ2JiYk4evQo2rRpg+joaFSsWFHHqaVv3bp1+PLLLzFlyhTUrl0bNjY2r533\noVarkZKSgkuXLmHMmDEIDw9H+/bt9RtY4saMGYOkpCQEBgaiWrVqL/2H7Xn5+fm4d+8ejhw5gnbt\n2iE6OhpWVlZ6TFt2XENWqEaNGmH8+PHw9fUt83ONHz8eM2bM4BEe/r6a0c/PDx06dCjR4zZs2ICH\nDx9i5cqVOkomP1lZWbCzs8OBAwc0PlgoEhAQgEmTJqF///46SqcbvDBEgfLy8hAXF4fatWtr5fm8\nvb1x7tw5rTyXnKnValy8eBF169Yt8WPr1KnDz/AfLl++DA8PjxKXMQDUqlVLlp8nC1mBYmJi4OLi\norUNEE9PT0RGRmrlueTs/v37KCwsLNXQpZo1a+LatWsGf55tSZw7dw6enp6lemytWrVk+TvJNWQF\nSkpKgoODQ/GfV61ahUqVKqFfv35YvXo1TE1NERUVhZSUFNSqVQvTpk1DWloaAgMDkZubC29vbwQG\nBhY/3tHREYmJiSLeiqQUfa7Prxn/8ccfuH79OmJiYpCamop58+Zh8+bNiImJgZWVFb755htYWlrC\nwsICFSpUQHp6OhwdHQW+C+lITEyEvb198Z81/SwBwMHBQZa/kzxCJvj5+WH//v0AgKNHjyIzMxM1\natRAcHAwUlJScO3aNURFRaFGjRoIDQ1F48aNUVhYWPx4Dqn//171WVy6dAnLly/H2LFjcejQIeTk\n5CAkJAQdO3bEqlWr3vhYpfvnZ6LpZylXLGRC5cqVYWJigsjISDg4OODRo0c4cuQIxo4di3v37iEp\nKQnvvPMOgL83S27evAkjI/7qaKpr164wNTWFra0tQkND0aBBAwBAgwYNEB8fLzidvBj6Z8l/qxTI\n2Nj4pTsw+Pn5Yfbs2ejevTvc3d0xZMgQ/PLLLxg7diwcHR1x/vx5dO3aFUuWLMHp06dx9+7d4sfm\n5eXB2NhY329DcoyNjZGXl/fS158/VatGjRq4dOkSgL+P9mrUqFH8vWfPnvFzfM6rPk9NP8v8/HxZ\nfpYsZAXy8vJCfHz8C3dfaN++PQoKCtCyZUv069cPJ0+ehL+/P7Zu3QonJydUrVoVy5Ytw4gRI2Br\nawsnJ6fix8bHx8Pb21vEW5GUGjVq4O7du2+83dA777wDc3NzjB49GgcPHsTw4cMBACkpKTA2Noad\nnZ2+4kperVq1kJCQ8Nrvv+6zBOT7O8lNPQVycXGBkZERkpKS4OjoiLt37yIwMBDDhg2DsbExypUr\nh3nz5r3wmIoVK772luzXrl3Du+++q4/oklahQgW4ubkhPj4eXl5eAIBevXoVf79JkyZo0qTJKx8b\nGxuLhg0bch35OT4+PoiNjS3+s6afJfD372TRMpuc8AhZgVQqFZo0aYLjx48DAKpUqYI1a9Zg6NCh\nJX6unJwcnD17Fs2aNdN2TFlq3rx58edaEidPnkSLFi10kEi+PDw8kJubi6tXr5bocbm5uThz5gya\nNm2qo2S6wyv1FOrixYvo0qULvL29UbVqVTg4OMDJyQmOjo6vvdw3NzcXSUlJePjwIR4+fIjk5GT8\n9ddf6NmzJ1asWCHgXUhPfHw8WrduDW9vb3h5eaF69eqoVq0aKlSo8MLPZWRk4NatW7h16xaio6Px\n8OFDnDlzhksW/xAWFoYJEyagXbt2cHd3R/Xq1eHm5vbKWRY3b97E7du38eeff6JVq1ZYtWqV7P7G\nwUJWsMePH2PXrl1ISEjArVu3kJCQgDt37uDRo0ev/PmiaW9Vq1aFu7s73N3d4evr+8a/OipRRkYG\nfv/9d0RHRyM6OhqxsbGvnPZWu3Zt1KlTB3Xr1kWfPn1kP6lMV+Li4nDw4MHizzM+Pv6laW/Ozs6o\nU6cO6tSpgyZNmqBDhw6yK2OAhUxEJBlcQyYikggWMhGRRLCQiYgk4v8BT5HjynObfzkAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6af5110f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf_ = DecisionTree(mode='C4.5')\n",
    "clf_.fit(X,y).show()\n",
    "#print (clf_.predict(X)  )\n",
    "#['yes' 'yes' 'no' 'no' 'no']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.3709505944546687"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#P36\n",
    "##  ###reload(tree)\n",
    "import tree\n",
    "\n",
    "##  \n",
    "myDat,labels=tree.createDataSet()\n",
    "##   \n",
    "myDat\n",
    "##计算熵   \n",
    "tree.calcShannonEnt(myDat)\n",
    "#熵较高，说明混合数据多\n",
    "#P36在数据集中添加分类，例如maybe   \n",
    "#测试熵的变化\n",
    "myDat[0][-1]='maybe'\n",
    "##   \n",
    "myDat\n",
    "##   \n",
    "tree.calcShannonEnt(myDat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 1, 'yes'], [1, 1, 'yes'], [1, 0, 'no'], [0, 1, 'no'], [0, 1, 'no']]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#P37划分数据集\n",
    "#def splitDataSet(dataSet, axis, value):\n",
    "##  \n",
    "a=[1,2,3]\n",
    "##  \n",
    "b=[4,5,6]\n",
    "##  \n",
    "a.append(b)\n",
    "##  \n",
    "a\n",
    "##  \n",
    "a=[1,2,3]\n",
    "##  \n",
    "a.extend(b)\n",
    "##  \n",
    "a\n",
    "##  \n",
    "##reload(tree)\n",
    "##  \n",
    "myDat,labels=tree.createDataSet()\n",
    "##  \n",
    "myDat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 1, 'yes'], [1, 1, 'yes'], [1, 0, 'no'], [0, 1, 'no'], [0, 1, 'no']]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tree.splitDataSet(myDat,0,1)\n",
    "##  \n",
    "tree.splitDataSet(myDat,0,0)\n",
    "\n",
    "## \n",
    "##reload(tree)\n",
    "## \n",
    "myDat,labels=tree.createDataSet()\n",
    "#P39选择最好的数据集划分  \n",
    "#def chooseBestFeatureToSplit(dataSet):\n",
    "tree.chooseBestFeatureToSplit(myDat)\n",
    "## \n",
    "myDat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'no surfacing': {0: 'no', 1: {'flippers': {0: 'no', 1: 'yes'}}}}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "##P40构建递归树 \n",
    "##reload(tree)\n",
    "## \n",
    "myDat,labels=tree.createDataSet()\n",
    "## \n",
    "myTree = tree.createTree(myDat,labels)\n",
    "## \n",
    "myTree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#############\n",
    "##P42使用Matplotlib绘图 \n",
    "import treePlotter\n",
    "## \n",
    "#treePlotter.createPlot()\n",
    "\n",
    "## \n",
    "##reload(treePlotter)\n",
    "## \n",
    "treePlotter.retrieveTree (1)\n",
    "## \n",
    "myTree = treePlotter.retrieveTree (0)\n",
    "## \n",
    "treePlotter.getNumLeafs(myTree)\n",
    "## \n",
    "treePlotter.getTreeDepth(myTree)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1SEhI4Fu4k0ZxoyFiIffTl19+iWHDhmHOnDmio5CBCQgIQGlpKerr60VHIUFY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6ad2dffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jx6J9+/aio0iOtbU1IiIioFQqoVKpRMchmWEhU62cOXMG+/btw+zZs0VHkaw333wT1tbW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\nWMhERBLBQqb/t1EwCkbBIAEASdMRLE1ccXkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6ad2df160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "['no surfacing', 'flippers']"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#########\n",
    "## P48超过两个分支的决策树\n",
    "import treePlotter\n",
    "###reload(treePlotter)\n",
    "## \n",
    "myTree=treePlotter.retrieveTree (0)\n",
    "## \n",
    "treePlotter.createPlot(myTree)\n",
    "## \n",
    "myTree['no surfacing'][3]='maybe'\n",
    "## \n",
    "myTree\n",
    "## \n",
    "treePlotter.createPlot(myTree)\n",
    "## P49 使用决策树进行分类\n",
    "myDat,labels=tree.createDataSet()\n",
    "## \n",
    "labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'no surfacing': {0: 'no', 1: {'flippers': {0: 'no', 1: 'yes'}}}}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## \n",
    "myTree=treePlotter.retrieveTree (0)\n",
    "## \n",
    "myTree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'no surfacing': {0: 'no', 1: {'flippers': {0: 'no', 1: 'yes'}}}}"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## \n",
    "tree.classify(myTree,labels,[1,0])\n",
    "## \n",
    "tree.classify(myTree,labels,[1,1])\n",
    "\n",
    "## P50存储决策树\n",
    "tree.storeTree(myTree,'classifierStorage.txt')\n",
    "## \n",
    "tree.grabTree('classifierStorage.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "##P50 示例  使用决策树预测隐形眼镜类型 \n",
    "fr=open('lenses.txt')\n",
    "## \n",
    "lenses=[inst.strip().split('\\t') for inst in fr.readlines()]\n",
    "## \n",
    "lensesLabels=['age', 'prescript', 'astigmatic', 'tearRate']\n",
    "## \n",
    "lensesTree = tree.createTree(lenses,lensesLabels)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1DRbooMyXpP/k6elJ69atWb9+vWI1iNJJQl3oVX5+PnPmzCE4ONigz6vEcsYnyfJGoQQJ\ndaFXmzdvpkqVKrz66qsGfV6lO3WAjh07ArB//35F6xCli4S60Bu1Wk1oaCgffPABFhYWBn1uJZYz\nPsnCwoLAwEBZ3igMSkJd6M2OHTuwtrbmtddeM/hzG8P4BWDo0KEcP36c6OhopUsRpYSEutALjUZD\nSEgIs2fPNniXDsYxfgGwt7dnzJgxhIeHK12KKCUk1IVe7Nu3j7S0NPr06aPI8xvD+KXA5MmT+eab\nb0hNTVW6FFEKSKgLvQgJCWHWrFmoVMq8xYxl/ALg6upK586d+frrr5UuRZQCEupC544ePcqNGzcY\nPHiwYjUYy/ilQFBQEOHh4ajVaqVLEWZOQl3oXEhICDNnzsTKSrmrJRrT+AXA19eX8uXLs2vXLqVL\nEWZOQl3o1OnTpzl37hwjRoxQtA5jGr+ALG8UhiOhLnQqNDSUd999lzJlyihah7GNXwAGDhzI+fPn\nuXjxotKlCDMmoS505uLFi/z++++MGzdO6VKMbvwCUKZMGcaPH09YWJjSpQgzJqEudGbOnDkEBQVR\ntmxZpUsxuvFLgQkTJvC///2PxMREpUsRZkpCXehETEwMu3btYvLkyUqXAhjn+AWgWrVq+Pv7s3r1\naqVLEWZKQl3oxLx585g4cSLly5dXuhTAeEMdHi1vXLp0KXl5eUqXIsyQhLoosTt37vDDDz8QFBSk\ndClaaWlpRjdTL9C8eXNcXV3Ztm2b0qUIMyShLkps4cKFjBw5ksqVKytdipYxd+oAgYGB8oWp0Au5\nnJ0okfv371OnTh0uXLjASy+9pHQ5WjY2NqSlpSm+tPJZcnNz8fDwYPv27Xh7eytdjjAj0qmLEvn8\n888ZOHCgUQX6w4cPAYw20AGsra2ZPHmyHIwkdE46dVFsycnJeHl5cfLkSdzd3ZUuR+vBgwfUqlXL\n6JcNPnjwAC8vLy5duoSzs7PS5QgzIZ26KLYlS5bQo0cPowp0MP55eoFKlSrRv39/vvzyS6VLEWZE\nOnVRLOnp6Xh4ePD7779Tp04dpct5TGRkJAMGDCAyMlLpUl7owoULdOnShRs3bmBjY6N0OcIMSKcu\nimXlypW0b9/e6AIdjPdo0qdp2LAhDRo0YNOmTUqXIsyEhLoosuzsbBYuXMjs2bOVLuWpTGX8UqDg\n7I3yR7PQBQl1UWRr166lWbNmNG3aVOlSnsoYT+b1PN27dycxMZE//vhD6VKEGZBQF0WSm5vL/Pnz\nCQ4OVrqUZzKl8QuApaUlU6dOleWNQick1EWRfPfdd3h4eNC6desX3lepcYKpjV8ARo0axZ49e7h9\n+7bSpQgTJ6EuCi0/P585c+YUqktXq9VYWFgYoKp/M7XxC0D58uUZOnQoy5YtU7oUYeIk1EWhbdmy\nBScnJzp06PDM+xR05yqVigsXLjBnzhyOHz9uqBIB0xu/FJg6dSqrV68mKytL6VKECZNQF4Wi0WgI\nCQkhODj4Xx24RqNh8+bNZGVlaX92+PBhBg8ejEqlYufOnajVaoPVaorjF4BatWrxyiuvsGHDBqVL\nESZMucu9C5Pyyy+/AI9WajxJo9Hg6emJnZ2d9rabN2/yn//8hwEDBpCfn09ERATNmzfH2tpa77Wa\naqjDo+WN06dPZ8yYMYqNr4Rpk05dvNDTuvR/fgmqUqlo1KgRH3/8sfaiynfv3mX79u3Ao9Udb7/9\nNvfv3zdIvcZ8LvUX6dKlC/n5+Rw8eFDpUoSJklAXL3TgwAGSkpLo27cv8PQvQS0tLalatap2dPDe\ne+8RGxvLvHnzGDx4MA0bNjTYtUtNuVO3sLDQHowkRHFIqIsXCgkJYdasWVhaWgKPOvO8vDyWL1/O\nTz/9pL2tf//+JCUlsX//fuDRQUqtWrWiXbt2rF692mCXuitMqBvz0ZvDhg3jyJEjxMTEKF2KMEES\n6uK5jh8/TkxMDEOGDNHetn37dgICArh8+TLh4eGsWLGCnJwcKlWqRM+ePVm7di0Abm5utG/fnokT\nJwKGC9LnjV/S0tJYuHAh69evN0gtxVG2bFlGjx7NkiVLlC5FmCAJdfFcISEhzJgxA2tra+7duwc8\n+tI0NzeXL774gvnz57N3715SUlIA8PPzo23btiQlJf1rW4b64u9ZnfqWLVvo3LkzmzdvplWrVoDx\nduyTJ09m3bp1pKWlKV2KMDES6uKp1Go1Z86c4a+//qJv37689dZbjBs3jo8//pihQ4dy//59kpKS\naNasGTY2Nvz5558AlCtXjoCAAJycnBSr/clQL1j3vX//fubNm4e/vz8nTpwADPcPTVG5ubnRoUMH\n1q1b96+fxcbGKlCRMBUS6uKpVCoVoaGhTJ8+nYsXL+Lk5MT27dtJSEggNjaWOnXqEBgYyGeffcb1\n69fx8PB47PFKdsAF45dr167xxhtvMH36dCIiIhg1ahQzZ87k5MmTvPHGG6SlpZGRkaF4vc8SFBRE\nWFiYdo1/REQEHTp04P3335e17OKZJNTFU507d46ff/6Z1q1bc+bMGe3VjQICAvjhhx8IDg4mOTmZ\nxMREDhw4QIMGDR57vFIdsEajIT09naioKIKCgujbty9Dhw4lLCwMT09PRo0axejRozl69CgBAQHa\n85gbY8fu5+dH2bJltccIHDx4kClTpjBp0iRCQkI4d+6cwhUKYyQHHwlyc3O1BwVFRUWRmJjI8uXL\nadu2LREREfTo0YP+/fvTr18/VCoVFhYWVKlShZ49e5KQkICtrS1qtRqVSvkeITIyEpVKRXJyMlFR\nUbRq1YpGjRpx5swZlixZwogRI+jYsSMPHjygadOmODo6otFojDLUNRoNzZo1Y+rUqfj7+3Pr1i3O\nnj3L/fv3GThwILdu3aJx48ZGW79QhvKfQqEIjUbDZ599pg309PR0AGJiYvj888/ZtGkTM2bMoFy5\nctSqVYuxY8eyevVqhgwZQr9+/bCwsGDcuHHMmjULQPFAv3fvHvn5+aSkpGBjY0NaWhrvv/++9iCe\nPn36aDvb7t27M2jQINatW6f9XYxR3759sbe3JzMzk0uXLtGqVSvi4uJYsmQJrVu3ZsOGDWRkZBht\n/UIZco3SUqigq548eTLOzs54e3sTGhqKu7s78+bN4+OPP+bs2bPk5ubSunVrli9fDjz6h0CtVmvX\nqxtLh3j9+nW+/fZbOnbsiIuLC76+vkyaNIn27dtz+PBh2rVrR7t27bh79y4uLi4kJCRQuXJlpct+\nqhMnTrBq1SqCgoL49NNPSUhIoHXr1iQkJLBs2TK+/PJLLl++zKVLlwgJCcHb21vpkoWRkVAvRTQa\nDRqNRttVZ2Zm0q9fPypXrsznn3/OunXriIyMZNu2bURERLBz5062bdvGunXrcHV11Ya4MYxa8vPz\nmTdvHtbW1nTp0oVz586Rl5dHvXr1GD58OL6+vvj4+ODu7k6FChUKdf53JeXm5rJixQq2bdtG9+7d\niY2NxcXFhU2bNrFkyRK6du1KTEwMTk5OpKam4ujoCBjPP6zCeMj4pRSxsLBApVJx8eJFPv30U1JS\nUpg0aRKpqalUrlyZ6dOns3fvXjp37oyXlxdt2rShcuXK2iNBC8JD6UC/dOkSAQEBJCQkoFKp2Lx5\nM3fu3EGj0RAREYG1tTXW1tZUrVqVLl26GH2gw6N9e/nyZfz8/Jg2bRrdunVDpVLRrVs3QkJC6N69\nO1999RWANtCVPGe9MF4S6mYuPz//sf8/dOgQffr0oU6dOvz555/4+/tjbW3N+vXrSUhIID4+Hn9/\nf+DRWKNz587aEDEGe/fuZfPmzbi4uBAQEMD06dNp0KABKpUKd3d3tmzZQlpaGh988AH9+vXDyso0\n1gJYWVkxfvx4bGxsiImJoUuXLhw9epTZs2fTqVMnJkyYwJIlSx57PZX+x1UYJ9N4x4tiK5h/37lz\nh5dffpmkpCQGDBgAPDrnuZWVFaGhofj7+zN37lzq1q2r/Xm/fv0Uq/ufcnJy2LVrFx4eHnh4eBAc\nHEzXrl2Jjo6mbt265OTk4ODgQKdOnbh16xbbt2/XLsE0JQ0bNmTPnj2EhIRoD5jKyclh6tSpALi4\nuLB9+3b69OmjZJnCyMk/9WamYG5e8FXJPw9Y2bZtG97e3vj4+HDhwgWmTp3KpEmTqF69Ou+88w6x\nsbFs3bqVMmXKGNXBOJaWliQnJ/Puu+9iaWlJjx49yM/P5/jx44wcOZLVq1dTtWpV7f3LlStnVPUX\nloWFBcOGDcPKygofHx9++OGHx06CFhQUJGdvFC8knboZyc/P13bmBUsVCw5YcXFxYezYsXz//fdU\nrlyZli1bsnDhQry9vcnKyiIxMZEePXpQs2ZNwLgOxrGysmLkyJGo1Wo+/PBDbt26xZo1a3B1dWXT\npk2Ehoby0ksvAf//9UmNqf6iqFq1Kq1ataJly5YAj30p3a9fP959913OnDlD06ZNlSxTGDFZ/WIG\n/vnBV6vVrFu3jvPnz7No0SICAwN58OAB9+/fx9fXl3bt2tGsWTMOHDhATEwM06dPJyMjAw8PDw4e\nPEi9evUU/m2e79atWwwYMIBhw4YxadIk7e0F+2Du3LkkJSUxb948BassmeetaAkNDeXq1ausWbPG\nwFUJUyHjFxP25BJFeHTAyrlz53j33XcBaNmy5WMHrKxevRpra2v69OnD9OnTAVi5ciVt27Y1+kAH\ncHV1xcvLiwoVKjx2e8E+MOULZBR43l8ZAQEBbN261WBXkRKmR0LdhFlYWGBhYcGJEycICAggMjIS\nW1tbLly4oB1HDBs2jAEDBrBixQoWL17Me++999gViHJycvjss88IDg5W6tcokoyMDFq0aKH9MvdJ\npnwpu8KoXLky/fr148svv1S6FGGkZPxiwp53wMqmTZtwc3PT3vdZB6ysXLmSbdu2sXPnTkV+B10b\nM2YMrVu3ZuzYsUqXojfnzp3j9ddf5/r16wa5kLcwLdKpm7DnHbASFBT02H2fdsBKXl4ec+fONZku\nvTDMYfzyIo0bN6Z27dr88MMPSpcijJCEugl70QEr2dnZ/1ra98/5+8aNG3Fzc6NNmzaGLl1vzH38\nUkCWN4pnkVA3cQ0bNsTW1paQkBDtdUQLDlixtbV95pduarWaOXPmmFWXDqWjUwfw9/cnPj5ee8Up\nIQpIqJu4Fx2w8ixbt27VHoVpTkpLqFtaWjJlyhTp1sW/SKibgYIDVjp06ACgvfzZs2g0GkJCQggO\nDjbZg3SepbSMXwBGjx7N7t27uXPnjtKlCCMioW4mRo0aRaNGjYAXn+hp165d5OXl0aNHD0OUZlCl\npVMHqFChAkOGDNGe714IkCWNpY5Go8HPz4/AwEAGDhyodDk65+DgwJ07d4zqzJL6dPnyZdq1a8eN\nGzewtbVVuhxhBKRTL2UOHTpEQkICb775ptKl6JxarSYjI+Oxg6vMXZ06dWjWrBkbN25UuhRhJCTU\nS5mQkBBmzpypPfGXOcnMzMTOzs4sf7fnKVjeKH90C5BQL1UiIiK4cuUKQ4cOVboUvShN8/R/6tq1\nK9nZ2Rw+fFjpUoQRkFAvRUJCQpgxY4bZHlpemla+/JNKpSIwMFCWNwpAQr3UOHfuHBEREYwePVrp\nUvSmtHbqAMOHD+fw4cNcv35d6VKEwiTUS4nQ0FCmT5+OnZ2d0qXoTWkO9XLlyjFy5EiWLl2qdClC\nYRLqpcCVK1fYv38/EyZMULoUvSq46lFpNWXKFNauXUtGRobSpQgFSaiXAnPnzmXKlClm38WmpaWZ\n/e/4PO7u7rRt25ZvvvlG6VKEgiTUzdyNGzf46aeftFekN2elefxSICgoiLCwsBeeKkKYLwl1Mzd/\n/nzGjRuHk5OT0qXonYQ6vPrqq9jY2LB3716lSxEKsVK6AKE/d+/eZePGjfz9999Kl2IQpXVJ4z9Z\nWFhoD0bq1q2b0uUIBUinbsYWLVrEsGHDcHZ2VroUg5BO/ZEhQ4Zw6tQpLl++rHQpQgES6mbqwYMH\nrFmzhvfee0/pUgxGQv0RW1tbxo0bx5IlS5QuRShAQt1MhYWF0bdvX6pXr650KQYj45f/38SJE9mw\nYQMpKSlKlyIMTELdDKWmprJs2TLef/99pUsxKOnU/38vv/wy3bp1Y82aNUqXIgxMQt0MLVu2jK5d\nu+Ll5aUUI/6IAAAgAElEQVR0KQYlof64oKAgwsPDyc/PV7oUYUAS6mYmMzOTL774gtmzZytdisHJ\n+OVxPj4+VKlShR07dihdijAgCXUzs3r1anx9fWnQoIHSpRicdOr/VrC8UZQeEupm5OHDhyxYsIDg\n4GClS1GEhPq/vfnmm1y+fJlz584pXYowEAl1M/LNN9/QoEEDmjdvrnQpipDxy7/Z2NgwceJEwsPD\nlS5FGIhceNpM5OXlUbduXdauXUvbtm2VLkcR9vb23L9/v1Rdo7Qw7t+/T+3atYmKiqJy5cpKlyP0\nTDp1M/G///2Pl156qdQGen5+Pjk5Odjb2ytditGpUqUKffr0YdWqVUqXIgxAOnUzoFaradSoEZ9/\n/jldu3ZVuhxFpKSk4OrqSmpqqtKlGKUzZ87g7+9PTEyM2V7OUDwinboZ+Omnn7C3t6dLly5Kl6IY\n+ZL0+Zo2bYqHhwdbtmxRuhShZxLqJk6j0RASEkJwcDAWFhZKl6MYCfUXk+WNpYOEuonbs2cP2dnZ\n9OzZU+lSFFXaL2VXGL169SI2NpYTJ04oXYrQIwl1E/fpp58ye/ZsVKrS/VKW9kvZFYalpSVTpkwh\nLCxM6VKEHslFMkzY4cOHiYuLY8CAAUqXojgZvxTOmDFj8PT05O7du7i4uChdjtCD0t3embiQkBBm\nzpyJlZX82yzjl8JxcnJi0KBBrFixQulShJ5IqJuoEydO8PfffzNs2DClSzEKMn4pvKlTp/Lll1+S\nk5OjdClCDyTUTVRoaCjvvfceNjY2SpdiFGT8Unj16tWjSZMmfP/990qXIvRAQt0EXbhwgT/++IOx\nY8cqXYrRkFAvmoLljXLsofmRUDdBoaGhvP3229jZ2SlditGQk3kVzWuvvUZGRgZHjx5VuhShYxLq\nJubq1avs3buXiRMnKl2KUZFOvWhUKhVTp06Vg5HMkIS6iZk7dy6TJ0/G0dFR6VKMioR60Y0YMYL9\n+/dz8+ZNpUsROiShbkJu3brF1q1bCQwMVLoUoyPjl6JzcHBgxIgRLF26VOlShA5JqJuQBQsWMGbM\nGCpWrKh0KUZHOvXimTJlCmvWrCEjI0PpUoSOSKibiHv37rF+/XqmTZumdClGSUK9eDw8PPD19WX9\n+vVKlyJ0RELdRCxatIghQ4ZQrVo1pUsxSjJ+Kb6goCDCwsJkeaOZkOPLTUBiYiKrV6/mr7/+UroU\noyWdevF16NABlUrFvn376Ny5s9LliBKSTt0EhIeH07t3b2rUqKF0KUZLQr34LCws5FzrZkQuZ2fk\n0tLS8PDw4NixY9SqVUvpcoxWmTJlSElJwdbWVulSTFJWVhZubm4cO3YMLy8vpcsRJSCdupFbsWIF\nnTt3lkB/jocPH5Kfn0+ZMmWULsVk2dnZMXbsWMLDw5UuRZSQdOpGLCsrCw8PD/bs2UOjRo2ULsdo\nJSUlUbNmTZKTk5UuxaTdunWLJk2acP36dTm4zYRJp27EvvrqK1q1aiWB/gKy8kU3XF1d6dKlC2vX\nrlW6FFECEupG6uHDhyxYsIDg4GClSzF68iWp7gQFBREeHo5arVa6FFFMEupGav369dSpU4eWLVsq\nXYrRk1DXndatW+Pk5MTOnTuVLkUUk4S6EcrPz2fu3LnSpReSXMpOd2R5o+mTUDdCmzdvpmrVqrRr\n107pUkyCXMpOtwYMGEBkZCSRkZFKlyKKQULdyKjVakJCQggODsbCwkLpckyCjF90y8bGhgkTJhAW\nFqZ0KaIYJNSNzM8//4yNjQ2vvfaa0qWYDBm/6N748ePZtGkTiYmJSpciikhC3YhoNBrp0otBxi+6\n5+zsTM+ePVm1apXSpYgiklA3Ir/99hsZGRn07t1b6VJMioxf9CMoKIilS5eSl5endCmiCCTUjUhI\nSAizZs1CpZKXpSgk1PWjWbNmuLm5sW3bNqVLEUUg6WEkjhw5wq1btxg0aJDSpZgcOaJUf2R5o+mR\nUDcSISEhvP/++1hZySnui0o6df3p3bs3N2/e5PTp00qXIgpJQt0InDp1igsXLjBixAilSzFJEur6\nY2VlxeTJk6VbNyHSFhqB0NBQ3n33XTl1bDHJ+EW/xo4di6enJ/fu3cPZ2VnpcsQLSKeusIsXL3L0\n6FHGjRundCkmSzp1/apYsSIDBgxgxYoVSpciCkFCXWFz5swhKCgIe3t7pUsxWRLq+hcYGMiKFSt4\n+PCh0qWIF5BQV1B0dDS7du1i0qRJSpdi0mT8on8NGjSgYcOGbNq0SelSxAtIqCto3rx5TJo0ifLl\nyytdikmTTt0wCpY3ysXSjJtczk4ht2/fpkmTJly5coVKlSopXY7J0mg02NjYkJGRgY2NjdLlmDW1\nWk2dOnVYt24dvr6+SpcjnkE6dYUsXLiQUaNGSaCXUE5ODiqVSgLdAFQqFVOnTpXljUZOOnUFxMfH\nU7duXSIjI3FxcVG6HJOWkJBAnTp1ePDggdKllAqpqam4u7tz9uxZXF1dlS5HPIV06gr4/PPPGTRo\nkAS6Dsg83bAcHR0ZNmwYy5cvV7oU8QzSqRtYUlISXl5enDp1Cnd3d6XLMXnnz59n8ODBXLhwQelS\nSo2rV6/i6+vLjRs3sLOzU7oc8QTp1A1syZIl9OzZUwJdR6RTNzwvLy9atWrFhg0blC5FPIWEugGl\np6cTHh7OzJkzlS7FbEioK0OWNxovCXUD+vLLL+nQoQN16tRRuhSzIZeyU0anTp3QaDQcOHBA6VLE\nEyTUDSQ7O5vPPvuM2bNnK12KWZFL2SnDwsKCwMBAWd5ohCTUDWTNmjU0b96cJk2aKF2KWZHxi3KG\nDh3KsWPHiI6OVroU8Q8S6gaQm5vL/PnzCQ4OVroUsyPjF+XY29szevRoli5dqnQp4h8k1A1gw4YN\neHl54ePjo3QpZkfGL8qaPHky69atIy0tTelSxP8joa5n+fn5zJkzR7p0PZHxi7Jq1KhBx44dWbdu\nndKliP9HQl1P9uzZQ1JSEj/++COVKlWiffv2SpdkVvbu3cvly5e1oR4ZGUliYqLSZZVKQUFBhIWF\noVarGTduHDk5OUqXVKpJqOvJggULiIiIICQkhODgYCwsLJQuyaxcuXKF2bNnk5aWho2NDa+99ho3\nbtxQuqxSJyUlhWbNmuHg4MDu3bv59ttvUavVSpdVqkmo64mVlRXHjx9HpVJhb28vBxzp2IgRIzh0\n6BDx8fH89ttv+Pr64u3trXRZpc53332Hj48Pb731Fp9//jn5+fnY2toqXVapJhee1hMrKys2btzI\nK6+8wpAhQ1i/fr3SJZmVcuXKMXr0aNatW8epU6c4c+aM0iWVShMmTCAnJ4f58+eTlZVFuXLl5K9S\nhUmnridJSUlcu3aNqKgoIiIi6NSpk9IlmZ2pU6cSHx9P7969qVmzptLllEoWFha8/fbbrFq1iqys\nLPLz85UuqdSTUNeT/Px8OnXqxOHDh+W803ri6urKrFmzWLhwodKllHrdu3dnz549dOnSRelSSj05\n9a4QQpgR6dSFEMKMmH2oazQaZs2ahY+PD3FxccyYMQNfX1/u37/PO++8Q9u2bUlISGDKlCm0b9+e\nxMRExo8fT6dOnUhKSmL06NF07dqV5ORkhg8fzuuvv05KSgpDhgzB39+flJQUBgwYQN++fUlNTaVv\n374MGDCA1NRU/P39GTJkCCkpKbzxxhsMHz6c5ORkunbtyujRo0lKSqJTp06MHz+exMRE2rdvz+TJ\nk3nw4AFt27bl7bff5v79+/j6+vLuu++a7GlOs7Oz6d27N/379yctLY3+/fvTq1cv0tLSGDJkCD16\n9CA1NZURI0bQrVs3UlJSGDNmDJ06dSI5OZmJEydqX5vAwED8/PxISEjg3XffxdfXl/j4eGbNmsUr\nr7zC3bt3+eijj2jRogW3b98mNDQUb29vbty4wcKFC2nSpAkxMTGEhYXRsGFDrly5wooVK6hfvz4X\nL15kzZo11K1bl/Pnzyu92/Su4HUZMGAAKSkpj71fX3/99UK9X6dMmUJCQgJt27blnXfeIT4+Hl9f\nX2bMmEFcXBw+Pj4EBwcTGxtLy5Yt+e9//8utW7do3rw5oaGhXL9+HW9vbxYsWEB0dDSNGzfmiy++\n4MqVKzRs2JBly5bx999/U79+fVatWsX58+epV68eX3/9NWfOnKFOnTqyCOEJZh/q8+fPZ+vWrdSt\nW5d69eqxY8cOPD09qV27Nvv27cPV1ZVatWpx9OhRnJ2d8fT05NSpUzg5OeHh4UFkZCRly5alZs2a\nREdHY2Vlhbu7O7dv3yY/Px93d3cSEhJIT0/Hzc2N9PR0EhIScHNzIz8/nzt37uDu7o6lpSXR0dHU\nrFmTsmXLcvHiRTw8PHBycuLUqVN4enri7OzMsWPH8PLywtXVlf3791O7dm08PT3ZtWsXn3zyidK7\ns1gGDx5MVlYWSUlJuLm5kZSURE5ODm5ubty5cwcLCwvc3d2Jjo7G3t6emjVrEhkZqX0NTpw4QbVq\n1fDy8uLw4cO4u7tTu3Ztfv31V2rVqkXdunX56aefaNiwIQ0aNGDjxo14e3vTpEkTVq9eTatWrWjW\nrBlLliyhTZs2tGzZkgULFtChQwdat27NJ598QufOnWnbti3BwcF069aNzp07Exsbq/Su06uC1yUh\nIQF3d3fy8/O5ffs27u7uWFlZPfZ+jYyM/Nf7tVq1ahw9epRatWrh6urKvn37qFOnDp6enuzYsYN6\n9epRt25dfvjhBxo0aEDjxo1Zv349jRs3plmzZqxatYpmzZrRqlUrlixZQsuWLWnTpg2fffYZPj4+\nvPrqq4SEhNCmTRs6derEhx9+SPv27enSpQszZ86kU6dOvP7660yfPp1du3YpvTuNhtkvaSxXrhwZ\nGRn07t2bFi1aUL9+fRwdHWnZsiWNGzemXLlytGrViqZNm1K2bFl8fHxo0aIFtra2+Pr60qpVK2xs\nbPDz88PHxwdra2t+//13fH19UalUHDlyhDZt2mBhYcGRI0fw8/NDo9Fw9OhR/Pz8yM/P5/jx47Rt\n25bc3Fz++OMP2rVrR05ODhEREbRt25bs7GxOnjxJ27ZtycjI4MyZM7Rp04b09HTOnTuHu7s7v//+\nO46OjkrvzmJxdHQkNjaW0NBQ/vrrL9q2bQvA77//jp+fHyqVit9//53WrVtjbW2t3ddlypTB19eX\nli1bYmdnh4+PD97e3pQtW5aWLVvSpEkTHBwcaNGiBQ0aNKB8+fI0b96cOnXq4OTkhLe3N15eXlSq\nVAlvb2/c3d2pXLkyTZs2pXr16jg7O9OkSRNcXFyoVq0aTZs2pUqVKuzfv58yZcpgaWmp8J7Tr3++\nLmfOnNHZ+9XX15fU1FQuXrxI69atGTZsGJcuXcLHx4dBgwZx9epVXnnlFd58802uX79OixYt6N27\nNzdv3qR58+b4+/sTGxuLt7c3b7zxBnFxcTRt2pSuXbuSkJBA48aNtX/FZWdnk5+fL5fV+wez/6I0\nJyeHVq1a0apVKwICApQup1jWrl3LgQMHOHnypEm+ee/cuUO9evX49NNPadOmjdLlvFCHDh1YuHCh\nyb5fCsvUXpenee+996hWrRobNmyQ9fH/j9mPX959912sra0ZOXKkonVcunSJn3766YX3+/nnn/91\n29ChQ3F0dCQoKEgfpeld79696dmzJ76+vtrbLl++zOXLl0u87Z49ezJmzBgGDRrEN99889z7Pm3f\nPs3ixYsJDAzkypUrJa7PmD3tdVFCST4bs2bN4uDBg6xdu1YfpZkksw/1fv36ce3aNU6dOqVoHXXr\n1qVXr14vvN/T3rhnzpwhKiqK/v3766M0vRsxYgT79u3jzp072tuuXLmik9BUqVR89dVXrF+/nq1b\nt5Kdnf3M+xY21Dds2EC7du2oXr16ieszZk97XZRQks/Gr7/+io2NDa+++qo+SjNJZj9Td3d3x9HR\nkfj4eODRdUIjIyNJT0+natWqhISEMHHiRBo3bszly5cJDw/nwYMH/N///R+pqam0b9+eUaNGcf36\ndT7++GPy8vJ49dVXGTNmDLdv3+aTTz4hMzMTHx8fJk+ezMmTJzl8+DBxcXG4u7szadIkAE6ePMmp\nU6cYP348AMOHD6dSpUrcu3ePYcOG0bZtW4KCgrh69Spjxoyhbdu22r8u7t+/j729PR4eHorsw5Jq\n1KgROTk5pKamAhAWFsbBgweBRx/UsLAwPvzwQxISEqhTpw7vv/8+CQkJBAcHk5eXR7NmzZ67bwHy\n8vK0/33y5EnCw8PRaDSMHj0ad3d3PvnkE+2+7dOnDz169ODQoUOsXbsWtVrNBx98QO3atQG4efMm\n/v7+JjnqKoonXxdT/Gzcvn0bNzc3qlatqsg+NEZm36l/9NFHuLi40LNnT+1tjRs3Zs2aNZQvX55D\nhw4RGRlJ/fr1CQ8PB+Drr7+ma9eurFu3jkOHDpGcnMyRI0fo2LEj33zzjbaDW7x4MZMnT+bbb78l\nOzubzMxM4NFpYadMmfJY6DwpNTWVGTNm8NVXX/Hll19ib2/PV199RZ06dfjqq68eGxe98cYbeHp6\n8sEHH+hhD+nf+PHjefPNN6lfvz4AgYGBjBo1ilGjRrFy5Uq2bNmCp6cna9asISEhgaioKOLi4hg/\nfjxhYWEcPnxYu60n961arSYgIAB/f3/GjBmDra0tSUlJzJs3j//+979s2bIFd3f3x/Ztjx49UKvV\nLFq0iCVLlvCf//yHVatWaZ/j008/5YsvvjD7ZY1Pvi5gep+NwMBArl69ypo1a/Swh0yT2Yf6nDlz\niI+P58cff9Te1qBBAwBq165NbGwsHh4edOzYUfvzGzdu8MMPPxAQEEBmZiYJCQm88cYbREdH8/bb\nb2uv8nL9+nXq16+PRqMhMDBQ29l169aNGjVqPLcuJycnXFxcsLOzw8nJSdstPc327du5fv068+fP\nL/Z+UNLXX3/N5s2buXDhwlN/fuPGDQ4ePEhAQAB37twhPj4eGxsb1q9fT2hoKFlZWdr7PrlvVSoV\nK1eupG7dunh5eQGPTtEwd+5cvvvuu2eOY5KSkkhOTmbatGksWLDgsed4//33mTVrFo0aNdLFr2+0\nnva6mNpnY9GiRdSrV49x48YVez+YG7MP9fPnz5OUlIS7u7v2toI38aVLl6hevfq//sx2c3Nj6tSp\nrFy5kmHDhuHg4MCJEycYOXIkixYtYt26deTl5eHu7k5kZCTjxo2jc+fO3Lp1C6BQf7YnJSVx584d\nMjMzSU5Opnz58gDY2tqSlZX12IFGNWrUIC0tjbNnz5Z0dyjiyJEjlCtXjkqVKmlvK1OmjDZIa9So\nweDBg1m5ciUBAQE4Ozvz7bffMnz48H+di/6f+/bDDz/UzoPfeustNmzYAMDKlStZuHAhgwYNeqyO\ngvN8azQanJyccHNzY9myZSxatAg/Pz/t/erVq8fhw4fJyMjQ8Z4wLk97XXT52Th79izdu3ene/fu\nevts1K5dm0uXLnHz5s0S7w9zYfahvnv3btzc3GjYsKH2tosXLzJmzBjS09Np167dvx4zYsQIvvnm\nG0aOHElERASVKlXC1dWVDz/8kGHDhtG6dWusrKwIDAxkyZIlnD17lpycnCKduKt8+fJ8/vnnjB07\nlvHjx2uDq0+fPkyYMIHJkydr71uvXj08PT3ZuXNnCfaEcrZs2YKvry/VqlXT3taqVSv279/PqFGj\nqFu3LkePHmX06NFs3bqVatWq0a5dO0JCQpg2bRq2trbcv3//X9u9e/cuGo0GjUaDj48P169fJz4+\nHj8/P4YPH87q1asfu3Zm165dGTVqFB999BEqlYrRo0cTEBBAQEAAFSpU0N6vd+/enDhxgri4OP3u\nGIU97XXR5Wdj8eLFJCYmkpOT88Lu/J+K8tlo164darWaiIiIEuwJ82L269Rzc3Np2bIlLVu2ZMKE\nCXz55Zc0b96cFi1a6GT7ycnJ9O7dG2trazZu3EjlypUL9biAgABWrlxZqPt+9dVXHDp0iL/++gsb\nG5uSlKuIuLg4ateuzSeffPJYR1xSQ4YM4erVq+zbtw8HBwedbffVV19l8eLFjBkzRmfbNEZPvi66\n/mwcOXKEjRs3cvHiRbZs2YKTk1OhHleUz8a0adNwdXXl22+/lXXq/4/Zd+rh4eGkpKTQq1cvDhw4\nQP/+/WnevDn79u0jOTkZjUbDb7/9RkpKCmq1mj179pCenk5+fj6//vorGRkZ5OXlsXv3bjIzM7X/\nnZ2dTW5uLps2baJ69epUr16dzZs38/DhQ3Jycti9eze5ublkZ2eze/du8vLyyMzM1P73okWL+PXX\nX8nPzyctLY09e/agVqtJSUnht99+Q6PRkJyczL59++jRowcPHz5k0aJFSu/OYgkMDKRJkyY0btyY\nXbt28fDhQ3Jzc9m1axfZ2dnafVpwPu7du3eTkZGBWq3m119/JT09HbVazd69e0lNTdW+ZsnJydjY\n2LBjxw4SExPRaDQcPHiQhIQEAA4fPsy9e/eARwFT0HkfO3ZMO7b5448/uH37NgARERHcuHGDKVOm\n8J///Ie7d+8qsLcMp+B1adSoEbt372b06NE0bNjwqe/X9PT0Qr9fNRoNiYmJ7N+/nxo1alCzZk02\nbdqERqMhPj5e+8V3XFwcR44cAR791XXs2DHg0eKGP/74A4Bbt27x559/Ao/m+SdOnAAezexPnjzJ\nyJEj2bNnD3v37jX07jNaZr+k0dLSEpVKxfr16zlw4ADly5enadOmHDp0iIoVK1K/fn2OHDlC5cqV\nqVWrFsePH2fjxo24ubkRERHB5s2bcXFx4dSpU2zbto2KFSty5swZduzYQdmyZYmIiNAeUr5p0yai\noqLIz88nKiqK/fv3k5mZSUxMDIcPHyYxMZGbN29y9OhR4uLiuHPnDsePH+fmzZvExcXx559/cvXq\nVe7fv09ERAQXL14kMTGRV199FQsLC5PtRFQqFZaWlnz00UdcuXKFPXv2YGVlxcWLF/nll19wcHDg\n3LlzbNu2jSpVqnD69Gl+/PFHXn75ZU6cOMH333+Pp6cnx48fp1KlStSrV48jR46QkJCApaUla9as\nYdu2bbzyyivs378fe3t7/Pz82LNnDzY2NnTs2JHdu3djZWVFt27d2LFjB5aWlnTv3p3t27ejUqnw\n9/dn27ZtwKPxC2Cy+7uwVCoVVlZWfPjhh0RFRXHgwAEyMjL+9X4t+AcxNjaW48ePc+PGDe7du8ef\nf/5JVFQUCQkJREREEBkZSVJSEidPnuTMmTPcvn2bunXrcv36daKjo8nIyODo0aNkZWVx+vRpDh48\nSE5ODm+88Qa//fYbDx8+pHv37vz666/k5eXRs2dPfvnlF/Lz8+nVqxfbt29Ho9HQu3dvtm7dCkDf\nvn21v4t4xOz3RFBQEKNHj+bevXtcvHiRIUOGkJiYyKVLl+jbty/p6elcuXKF7t278/DhQ6KiorRX\nKYqOjsbPzw8bGxtiYmJo3rw5Dg4OxMTE0KBBAypVqsSkSZN4+eWXqVatGuPGjcPV1RUvLy+uXbtG\nlSpVaNCgATExMTg4ONC8eXNiYmK05zSJjo4GoGPHjly9epWHDx/y+uuvc+XKFdLT0+nTpw+XLl0i\nMTGRwYMHM2PGDCV3ZbEVLHWrWbMm165dw8PDg2rVqnHt2jUaNGhAhQoVuHbtmvacOzExMfj5+WFh\nYcHVq1fp0qULOTk5REVF4e/vT2pqKhcuXECj0aBSqZg7dy4jR44kNjaWCxcuMGHCBK5du8bZs2eZ\nNm0aV65c4fTp08yaNYuLFy9y8uRJ/vvf/3L27Fn++OMP5s6dy+nTpzl27BiLFy/m1KlTHDhw4LFZ\nszn65ptvePnll7Xv10qVKj3z/ern56d9v3bq1ImoqChtCBe8X/v166d9vw4ZMgQfHx/y8vLo1q0b\nnTp14vbt20yePJmzZ89y7do1pk+fzl9//cWVK1eYOXMmJ0+e5O+//+ajjz4iIiKCc+fOERISwrFj\nxzhz5gwLFy7k999/59SpUyxZsoRDhw4RERHB8uXL6dy5s8J703iY/Uxd3wYNGkSPHj2wsbHhf//7\n32NLJ4X+xMbG0qBBAypXrsyECROYPn260iWJJ3h4ePDrr7/y8OFD+vTpY/anXTAWZj9+0beoqChq\n1aqFjY0NUVFRSpdTaty9e5cKFSpga2tr9qtUTNHDhw+1p522sLDgzp07pKammuyZRk2J2Y9f9Emj\n0RAVFYWXlxdeXl5ER0dr10IL/bp79y5OTk7Y2tqa/ReapigmJgZXV1esra2xsrKiUaNGJnuchamR\nUC+B+Ph4rKysqFSpEg4ODjg4OJj9hRWMRVxcHBUqVKBMmTLSqRuhgr9gC3h7e/PXX38pWFHpIaFe\nAk++cWvVqiUjGAORTt24SagrR0K9BCTUlSOhbtwk1JUjoV4CEurKKRi/2NjYkJGRQU5OjtIliX94\n8rPRqFEjrly5Iq+TAUiol4CEunIKOnULCwucnZ1lrm5knvxs2Nra4uXl9cwzdQrdkVAvAQl15RSE\nOoCLi4uMYIxIdnY29+7dw83N7bHbZQRjGBLqxaTRaLh69epjoe7l5UVMTIwsa9QzjUajHb8AVKtW\nTTp1IxITE4ObmxtWVo8fBiOhbhgS6sUUFxeHnZ3dY6dsLVu2LBUrVtSeIEroR3JyMmXKlKFMmTKA\ndOrG5sm/YAs0a9aM06dPK1BR6SKhXkzPeuPKCEb/4uLiHjsvS7Vq1STUjcizPhtNmzbl/Pnz5Ofn\nK1BV6SGhXkwS6sq5e/cuLi4u2v93cXGR8YsRedZnw9HRkWrVqsk5YPRMQr2YJNSV87RQl07deDzr\nswGP5uoygtEvCfViklBXjoxfjNvzQr1Zs2byZameSagXk4S6cmT8YrwyMzNJSEh45vV6ZQWM/kmo\nF4NarSY6Ovqpoe7p6cn169flyyA9ejLUnZ2diY+Pl6WkRiA6OpqaNWtiaWn51J8XhLpcxkF/JNSL\nId2uZ5AAACAASURBVDY2VntWxifZ2dlRpUoVbt68qUBlpcOT4xcbGxscHR158OCBglUJeP7oBR79\nA2xra8uNGzcMWFXpIqFeDC9648oIRr+e7NRBviw1Fi/6bIDM1fVNQr0YJNSVFRcXJ6FupAoT6jJX\n1y8J9WKQUFdOdnY2GRkZVKxY8bHb5VQBxqGwoS7LGvVHQr0YJNSVExcXh7OzMxYWFo/dLp26cZDx\ni/Ik1ItBQl05T35JWkDWqisvPT2d5ORkXn755efez83NjaysLOLj4w1UWekioV5EarWamJgYvLy8\nnnkfDw8Pbt68SV5engErKx2e9iUpyFp1Y3D16lU8PT1RqZ4fKxYWFjRt2lS6dT2RUC+iW7du4eTk\nRNmyZZ95nzJlylCtWjWuX79uuMJKieeFunTqyoqKinpus/NPMlfXHwn1IirMzBBkBKMvMn4xXoX9\nbIDM1fVJQr2IJNSVJeMX41WUUJdljfojoV5EEurKelaoOzg4oFarSU9PV6AqAUUL9Tp16nD37l1S\nU1P1XFXpI6FeRBLqynrW+MXCwkJGMAorSqhbWlrSsGFDzpw5o+eqSh8J9SKSUFfWszp1kBGMklJT\nU0lPT+ell14q9GNkrq4fEupFkJeXx/Xr1/H09HzhfWvWrMnt27d5+PChASorHdRqNfHx8Tg7Oz/1\n59KpK6dg5cuTB4U9j8zV9UNCvQhu3bpFlSpVsLe3f+F9bWxsqF69uixr1KGEhATKly+PjY3NU38u\nnbpyrl69WujRSwFZ1qgfEupFUJSZIcgIRteeN3oBWauupKJ+NgAaNmxIVFQU2dnZeqqqdJJQLwIJ\ndWU960vSAjJ+UU5xQt3W1pbatWtz4cIFPVVVOkmoF4GEurIK06nL+EUZxQl1kLm6PkioF4GEurJk\n/GK8ShLqMlfXLQn1IpBQV5aMX4xTcnIy2dnZz1yV9DyyrFH3JNQLKS8vj5s3b+Lh4VHox7i7u3P3\n7l1ycnL0WFnp8aJOvUqVKiQnJ5Obm2vAqkRBs1OU5YwFmjRpwoULF+RC7TokoV5I169fp1q1atja\n2hb6MVZWVtSoUYOYmBg9VlZ6vCjULS0tqVy5spyn28CKO3oBcHR0xMXFhcuXL+u4qtJLQr2QivvG\nlRGM7rxo/AIyglFCSUIdZK6uaxLqhSShrrwXdeogK2CUUNJQl7m6bkmoF5KEurLS09NRq9U4ODg8\n937SqRueLjp1CXXdkVAvJAl1ZRV06S/6Mk6WNRqerkJdo9HosKrSS0K9kCTUlVWY0QvI+MXQHjx4\ngFqtpnLlysXeRtWqVbG3t5fzJOmIhHohPHz4kNu3b1OzZs0iP7ZGjRrcv3+frKwsPVRWehTmS1KQ\n8YuhlWQ54z/JXF13JNQL4dq1a1SvXv2ZZwd8HktLS9zd3YmOjtZDZaWHdOrGqaSjlwIyV9cdCfVC\nKMpV0p/Gy8tLRjAlVJRQl07dcEr62Sggyxp1R0K9EErajchcveSKMn6Ji4uTL90MRDp14yOhXggS\n6sorbKduZ2eHra0tycnJBqhK6CrU3dzcyM7O5t69ezqoqnSTUC8ECXXlxcXFFSrUQUYwhqLRaHQW\n6hYWFtKt64iEeiFIqCvv7t27hRq/gKyAMZT79+9jaWlJpUqVdLI9mavrhoT6C2RnZ3P37l3c3d2L\nvQ1XV1cSExPJyMjQXWGlSG5uLklJSVSpUqVQ95cVMIahqy69gCxr1A0J9Re4du0aNWrUwNrautjb\nUKlUeHh4yLLGYoqPj6dy5cpYWloW6v7SqRtGcS42/TwyftENCfUX0FU3IiOY4ivsl6QFZKZuGLru\n1GvXrk1cXBwpKSk622ZpJKH+AhLqyitOqMv4Rf90HeqWlpY0avT/sXfe8U3V3R//JOlIk3TvSRez\nLW0BmYoIKPrzQREUEUQRZagPqCBDlkDZiDKVJaKAgAsQKMgoZcgulpYySvduk+49ku/vjz6JbelI\n26Q3997v+/XiBbTJvefenPPJueeee74BiIyM1Nk2+QgV9Ragos482vaoq6Hll45B16IO0Lq6LqCi\n3gJU1JmHll8MD122M9aF1tXbDxX1FqCizjy0/GJ4ZGdnQywWw8rKSqfbpW2N7YeKejOUl5cjJycH\nHh4e7d6Wi4sLioqKUFxcrAPL+EVryy/W1tYoKyujkzH1iD6ydADw9/dHXFwc/ezaARX1ZoiPj4en\npyeMjIzavS2hUAgfHx/ExcXpwDJ+0dpMXSAQwMnJiT5yrkf0Jeqmpqbo2rUr7t27p/Nt8wUq6s2g\na8elJZi20dpMHaA3S/WNvkQdoCWY9kJFvRmoqDMPIaRVc1/U0Jul+kXfok5vlrYdKurNQEWdefLz\n8yEWi2FmZtaq99GbpfqFirrhQkW9GaioM09bSi8ALb/oE0KIzkcE1CUoKAj37t1DTU2NXrbPdaio\nNwMVdeZp7U1SNbT8oj8yMjJgbm4Oc3NzvWzf3Nwcrq6uePjwoV62z3WoqDdBaWkp8vLy4O7urrNt\nOjk5oby8nM62aAXtEXVaftEP+iy9qKElmLZDRb0J4uLi4O3tDaFQd6dIIBDQ9UpbCS2/GB5U1A0b\nKupNoKsFdRtCRb110PKL4aGv2KgLnQHTdqioN4G+shFaV28dbWlnBABHR0fI5XIolUo9WMVvOjJT\npwuItx4q6k1ARd0waM0ydnUxNjaGlZUVFAqFHqziNx0h6vb29pDJZEhMTNTrfrgIFfUmoKJuGLS1\n/ALQEow+UKlUiI+P13v5BaAlmLZCRb0JqKgbBm29UQrU3iylHTC6JS0tDdbW1pDJZHrfFx0X0Dao\nqDdCUVERioqK4OrqqvNtOzg4oLq6Gnl5eTrfNtcoLy9HWVkZbGxs2vR+mqnrno4ovaihHTBtg4p6\nI8TFxcHHx0en7YxqBAIBzda1RJ2lCwSCNr2f9qrrHirqhg8V9UbQ5yPQQG0Jho7gbZn2lF4A2quu\nD/QdG3Xx8PBAVVUV/QxbCRX1RtB3NkIzde1oz01SgJZf9EFHZuoCgYBm622AinojUFE3DHQh6rT8\nols6UtQBWoJpC1TUG4GKumFAyy+GhVKpRGJiInx8fDpsn1TUWw8V9UboKFGnT8s1j67KL/Q864bU\n1FTY2dlBIpF02D5pr3rroaLegMLCQpSVlbVLTFrC1tYWAJCbm6u3fXCBto4IUGNubg6BQICSkhId\nWsVfOrr0AtQmQNnZ2SgoKOjQ/bIZKuoNUA8ramsbnTbQtkbtaOuIgLrQEozuYELURSIRevbsicjI\nyA7dL5uhot6AjnJcKuot097yC0A7YHQJE6IO0Lp6a6Gi3gAq6oaBUqmEXC6Hg4NDu7ZDRwXoDqZE\nvVevXnRcQCugot4AKuqGgUKhgJWVFUxMTNq1HZqp6w6aqbMDKuoNoKJuGOii9AJQUdcVNTU1SE5O\nhre3d4fv28/PD/Hx8SgvL+/wfbMRKuoN6GhRp+12jdPeHnU1tPyiG5KTk+Hk5ASxWNzh+zY1NUW3\nbt0QHR3d4ftmI1TU65CXl4fq6up213G1wdraGiYmJsjJydH7vtgIzdQNC6ZKL2roGF7toaJeB7Xj\n6rOdsS60BNM0uhT1pjJ1utSd9hiCqNO6unZQUa9DRzsuFfWm0WX5palMXSQStXv7fIGKOnugol6H\njlglvS6+vr5U1JtAV5m6nZ0dCgoKUFVV9cTvzp8/j//85z/49ddf270frtPRsdGQwMBAxMTEoLq6\nmjEb2AIV9TrQTN1w0FWmLhKJYG9v/0S2HhUVhblz52LVqlWwtLREaWlpu/fFZZjO1M3NzeHm5oaH\nDx8yZgNboKJeByrqhoOuMnWgtq6ek5OD6upqHDt2DEDtavVdunTB0aNHsW3bNqxbt44KRhNUV1cj\nNTWVkXbGutASjHZQUf8fhBBGRD0uLo62NTaAENJuUVepVJp/Ozs7Izw8HCNGjMCvv/6KlStXIjs7\nGxs3boSrqyv++OMP3Lhxg7Y+NkFiYiJcXV3b/SBYe6Girh1U1P+HQqEAUFuD7SgsLS0hkUiabbnj\no+Crpyq2dcV6lUqlWV+2sLAQTk5OiIuLw7Bhw7Bw4UIcO3YMN27cQH5+PoRCIUaOHAmxWMxozdiQ\nYbr0okabcQF8jJeGGDFtgKHQXDtjcXEx8vPz4eHhofP9qkswLi4ujf5eIBCgsLAQkZGRePbZZ3W+\nf0NEnaWrP4vq6moYGxtr/X6hUAiFQoHZs2fD2NgYFhYWyMjIwJ9//olz585hxYoVyMvLw/fff4/x\n48fD2dkZL774or4Oh/U0J+r6jI2GBAcHIzIyst6XdkP4GC8NoZn6/2jouOpv/J07d+I///kP5s+f\nj2vXrum8t7lhXV1dNlD/ffToUaxcuRIRERE63a8hU7f08vDhQ835qaioAPBkNla31KL+//z58xEY\nGIglS5ZAJpNBKBRiyJAhePXVV5GZmYlvvvkGlZWViIyMpILeAkzFRkPs7OxgYWGBxMREzc9ovDwJ\nFfX/0XCVdHWWeOfOHfz444/w8fHBpk2bdH5jU11XB2qDRZ2BqP9euXIlUlNTMWvWLJ3u15BJTk6G\nSqVCeXk5xGIxDh48iA8++AAzZ84EIeSJqyn1uTp8+DCOHz8OoVCIzp07IyYmBrNnz8bt27fx8OFD\nvPfeexAKhbh37x6OHDkCExMT7N27l94gbQGmYqMx6tbVabw0DhX1/6HORmJjYzFjxgz8/vvviImJ\ngVgsxtSpU/Ho0SOMGDECxcXFAHRXu6ubqQsEAjx69AjTp0/HL7/8AqDWSR88eKCTfbGBmJgYzJ07\nFxKJBGZmZoiKisKBAwcgl8uxZMkSjaDUzc7Vv9u6dSsuXryI9evXY+7cuXj99dexatUqBAcHIz09\nHd26dcPMmTOxfv16zJgxA8bGxggICMC2bdtQU1PD1CEbPEzFRmPUravTeGkcKur/4/HjxxoH8fLy\nQlhYGMLCwmBsbAxfX1+sWbMGycnJOHLkCADoZJSAUqmsJ+oJCQn45JNPMHToUFy8eBFbtmzBCy+8\ngGeeeQbfffcdgCdLDVzDyckJHh4ecHd3x61bt+Di4oJNmzbh6aefhlwu1wiGUCjUCPH+/ftx4cIF\nnDlzBvPmzUNlZSX++usvODk5YdmyZQgNDYVKpcLVq1cRFhYGAHB3d8eCBQuwceNGKBQKXLx4kbFj\nNmSqqqqQkZGBixcvdmhsNIZSqayXqdN4aRwq6gAiIyPx+PFjFBQUICgoCLNmzcKkSZNQWFiI/v37\n44UXXsDs2bNRVlaGhQsX6my/IpFI81SpSqWCqakpnJ2dUVpailu3bkGhUCAtLQ2fffYZ9u/fj4qK\niiZvELGZuoGXmpqKpKQkHD9+HCUlJejTpw9GjhwJS0tL/P3337hw4QLWrVuHtWvX4quvvkJubi4C\nAwMRFBSEq1evwtbWFr169cLZs2fRtWtXTJ48GadPn0Z+fj4OHTqkacvLzMzEyZMnYWRkhB49emDN\nmjX0AaRGCA0Nhbu7O2JjYzs0NhpDJBIhODgYN2/eBADexktL8Lr7JTo6Gl988QWKioqgVCrh6OgI\nmUyGO3fu4KmnnsK6devwxhtvoGvXrnjuuedgaWkJAI3WdbWl7nvv3LmDZcuWQalUYs6cOfD29oZM\nJsPevXtx+vRpnD59GgkJCRg8eDCOHTvGyNhTfaI+F0KhUPPvsLAwSKVSPP300/D19UVOTg6WLl2K\n5cuXIzw8HGvWrIGdnR3EYjFGjx6N7du3IyMjA3379kVSUhIKCwvRu3dvzViAoUOHghCi6Zh4+umn\nAQDTp0/Hzz//jOPHjyM9PR0TJkyAVCpl8nQYFOrYSEtL03QQ6Ts2GqNhvCxduhRFRUWYM2cOPD09\neRUv2sJLUS8oKICZmRnu3r2Lvn37YujQoZg0aRLy8vKgVCqxY8cOVFVVobS0FMbGxiCEwNLSUuNg\nbXHauu/Nz8/HjRs3cPToUXh6eqJ///6QSqWIjY1FYGAgHB0dsXDhQvzzzz/YunUrgNo7/7oOGKZQ\nC6z6WA4ePIhffvkF77zzDkaOHIm9e/eiR48e+PnnnzF37lzI5XKcPn0ab7/9NkaOHIkzZ87g0KFD\nuHTpEiorKyGVSiGVSnH9+nXcv38fgwYNQmlpKUaPHo1JkyZh3LhxcHJywq1btzQ2PPfccwgKCsK5\nc+cwdOhQ2NraMnU6DIrGYuPMmTN6jY3GaCpevLy8MGTIEAiFQt7ES2sRLV26dCnTRnQkBQUFWLt2\nLezt7fHw4UPY29sjNzcX+fn58PT0xMsvv4zo6Gh4eHhgx44dsLa21jhGWxxEqVTWEzClUomdO3dC\nKBTC2dkZSqUSNTU1cHd3h1KpxMSJExEcHAyxWIwNGzbU61/ngoPW7TFWKpW4ffs21q9fj1mzZiEy\nMhKXL1/GlStXsHjxYkRHR6OsrAxjxozB6tWrMXbsWIjFYqSkpOD8+fMwNzeHra0t4uPj8e6776J7\n9+7w9PTE5cuX8csvv+Cjjz7CwYMH4ejoiHv37sHU1BRCoRA9e/aEUqmERCKBn58fJBIJw2fFMGgs\nNqKiotC1a1eYmZnpPDYaQ5t4kUqlEIlEMDU15Xy8tAXeFJwOHDiAP//8E1ZWVkhLS0NJSQkCAwMR\nGRmJ06dPQyQS4e7du+jTpw8CAgLw3HPPAWj7jZYHDx4gMTFRM9713r172LhxI4RCIXJycmBpaYkR\nI0ZAqVSioKAAly5dwvXr1yGTyeDi4oLXXnutXfs3VIRCIeRyOaZMmYL58+cjIyMDw4cPx/DhwzFh\nwgSoVCoUFBTAz88PQ4YMgaenJ7p3747+/ftj9erVAIC+ffti0qRJqKysxI0bN5CUlISHDx9ixYoV\nGDNmDFJTUzFkyBDExMQgPT0dJ0+ehL29PQYPHowTJ04AoGN369JcbFy/fh1lZWU6jY3GaE285Ofn\nIzw8nBfx0hY4X3559OgR1q5di19++QXm5ubIz8/Hu+++i/DwcCxZsgQqlQrTpk2DnZ0dvv32WwDA\n5MmTNU8wtuVGS0VFBY4fP45OnTpBoVBgwYIF8PLywqNHjyAQCDBgwAAcPXoUL7/8MoKDgxEaGorU\n1FRN9lkXrt3oUalU+Pjjj9GvXz+MGTMG33//PUxMTBAdHY3u3bsjPj4ednZ2kEqlGD58uKbbZf78\n+XjttdcQFxcHX19fjBs3DgqFApWVlXjzzTdx6tQpeHl54bPPPkN4eDgiIyMRGBiIEydO4NVXX4WR\nkRHEYjEOHTrE8BkwHLSJjb179+L+/ftYsWIFgPbHRmO0Nl6uXLmCmJgY3L59m/Px0hY4K+rl5eVY\nsWIFYmJiUFxcjKKiIgwbNgyHDx+Gg4MD7O3tAdTeSJNIJNiyZQuCg4NBCGnVI+mNIRaLMWzYMFy5\ncgV//vkn3n77bZiZmcHJyQmJiYmIjo7WPB0ZGBiIPn36ICsrC927d+d8HVAoFKJLly5IT0/HsmXL\nIBAI0LlzZ+zZswe3b9+Gq6srnJ2d69VUVSoVZDIZXn/9dcybNw+///47gNpBXTKZDM8//zzOnj2L\n4OBgBAQEIDs7G9u3b0dCQgKOHj2KwMBA2Nra0mXt/oe2sTFw4EBUVVXh2LFjMDIy0klsNEZr4+Xp\np5/G33//DScnJ87HS1vg7NeaUCjEn3/+iY0bN0IkEiEqKgpTpkyBg4MDJk6ciKNHjwKovSETHx+P\nzp0769RBgoKCYGJigvj4eEycOBH9+vWDk5MT+vfvj6lTp2rasjp16oRp06YhJycHKpWKFw765Zdf\nolevXli6dCn8/f1RUVEBPz8/rFq1Cm+++SZcXV3rvV6dfU2bNg0TJkx4Ynvu7u4YPXo0ZDIZ5HI5\nnn76aYwePRr+/v5YsWIFNm3aBB8fHyrq/0Pb2IiPj4enp6dG0PXpm62Jl/Hjx2vmwPAhXloLZ0Xd\n1NQUy5Ytw5kzZ/D1119j9erVeOuttxAXFweFQgF/f3/k5+cjMzMTEokElpaWOnUQkUiEV155BS++\n+CKuXbuGTp06wdPTE7du3UJpaSns7e2RnJwMAOjZsydsbW2Rmpqqs/0bKuobpfb29li+fDn27t2L\no0eP4uzZszh27BgOHjzY6OIY6jLM6NGjG93u8OHDUVFRgQsXLkAsFuOTTz7Bli1bMHDgQAC1DzXR\n0bq1aBsbdWe+6Fs8WxMvnTt3pmN4m4Gzog4Ar732Gk6ePAk3NzdIJBKEh4cjNDQUzs7OmDVrFqyt\nrfU6VtTV1RX+/v64deuWJoP88ssvYWtri9WrV6NTp06a1/JhwQz1rA6RSITevXtj5MiRWLlyJYYM\nGYLDhw/jvffeQ3R0NExNTZ8QkZZExdraGgEBAZovhIYjlJ2dnWmmXgemY6MxWhMv2ozh5SucrakD\ntUKwePFifPPNN9ixY4fmacLBgwdrXqNvxx0yZAh+++03VFRUaGqVPXv2fOJ16idLhw8frjdbmEY9\nFvWTTz5BfHw8PvzwQ5iamsLR0REZGRnw8/ODWCxu8zJ2w4cPb1L8aaZeH21jIygoqEPt0jZegoOD\nsWHDhg61jS1wWtQBoE+fPggODta0SjWsDepb1O3s7DBt2rQWM00+ZOqRkZE4dOgQvL29MXv2bJw/\nfx4FBQUwNzfH119/DWdnZ6SlpdXLyFpDc+fY2toaFRUVKC8vh5mZWVsPgVNoExtvvPFGh9qkbbz4\n+fkhMTERZWVl9DmDBnC6/KJGJBJparINnaUjLjEFAkGLk+v4IOqWlpZISEiARCJBQEAAevbsCSMj\nIzz33HMICAiAXC6Hm5ubXj4PgUAAJycnWoJpANOx0RjaxIuJiQm6deuG6OjoDrKKPfBC1IGms7jH\njx93yDJmNFMHvLy8MHbsWEgkEs0gLpFIhJycHLz77rtYs2YN8vLydLbgdENoCaZxGvPNsrIy5Obm\nwt3dnQGLtLsxGxwcTOvqjcAbUW8MlUqlaWdkGh8fHyQlJXF+rvewYcNQUVGBsLAw2NraYsqUKZqV\nhwghyMrKanNNvSXozVLtiYuLg5eXl0E/eUs7YBqH16Kenp4OCwuLJ55KYwIzMzM4ODggJSWFaVP0\nirpLxdHREUD9LpW8vDxIJBK9Tdejoq49hrLYdHNQUW8czt8obY6Gy3QxjboE4+3tzbQpeqWpLhV9\nZukALb+0BjaIemBgIGJiYlq9MDnX4XWmbmiOy4e6OtB0vbTugtP6gGbq2mNosdEYMpkMHh4evF++\nriFU1A3Icfki6k3REaJOM3XtMLTYaApagnkSKuoG5Lh8F/WOKL/QTF07DC02moKK+pNQUTcgx+3c\nuTPi4uKYNoMxaPnFMCgpKUFhYeETg9UMETou4El4K+oqlQoJCQkd0qOuLd7e3khJSeF8W2NT6FvU\nHRwcoFAooFQq9bYPLhAXFwcfHx9WzCYPDg7G3bt36eIYdTD8T01PpKamwsbGxqAWG1avjp6UlMS0\nKYyg7/KLsbExrK2tIZfL9bYPLmBoV7DNYWtrq3lSmVILb0XdUB2Xz3V1fWfqAC3BaIOhxkZT9OrV\ni9bV60BF3cCgoq5fUae96i1jqLHRFHRcQH2oqBsYfBX1srIyVFZWwsrKSq/7oZl6yxhqbDQF7YCp\nDxV1A4Ovoq6up+t7hR0q6i1jqLHRFGpRb2myI1+gom5g8F3U9Q0tvzRPUVERSktL9V4G0yVubm5Q\nqVT0y/p/8FLUa2pqkJSUBB8fH6ZNeQJPT0+kpaWhqqqKaVM6lI6opwM0U28J9ShqNi3oLBAIaF29\nDrwU9ZSUFDg4OBjkCjgmJiZwc3NDYmIi06Z0KB0l6jRTb56OWl9A19C6+r/wUtQNtfSiho8lmI4q\nv9BMvXkMPTaagor6v1BRN0D4KOodXX6hN9Uax9Bjoylor/q/UFE3QKio6w+ZTAahUIji4mK974uN\nGHpsNIWvry8UCgXy8vKYNoVxqKgbIHwU9Y4qvwC0BNMchh4bTSEUChEYGIjIyEimTWEcKuoGCB9F\nvaMydYCKelPk5+ejsrJSs9Qg26AlmFp4J+rV1dVISUkx6CXjPD09kZWVhYqKCqZN6RCUSiUUCgUc\nHBw6ZH+0A6Zx1MkOm9oZ60LbGmvhnagnJyfD2dkZpqamTJvSJEZGRvDw8ODN5Dm5XA5ra+sOW2eS\nZuqNY+hXsC1BO2Bq4Z2os8Vx+VSC6cjSC0Az9aZgS2w0RY8ePZCUlISysjKmTWEUKuoGCp9EvSNv\nkgI0U28KtsRGU5iYmKB79+6Iiopi2hRGoaJuoPBJ1Ds6U6ei3jhsiY3moHV1KuoGCxV1/UHLL09C\nCGFNbDQHratTUTdY+CTqtPzCPLm5uSCEwM7OjmlT2gUVdZ6JelVVFdLS0uDl5cW0KS3i4eEBuVzO\ni5s+HZ2p29nZobCwkHeTMJuD7e2MagIDA3H//n1UV1czbQpj8ErUExMT4ebmBhMTE6ZNaRGRSAQv\nLy9etDV2tKgLhUI4ODggOzu7w/Zp6MTFxbHiCrYlpFIpOnXqhPv37zNtCmPwStTZUnpRw5cSTEeX\nXwBagmkI22KjOfhegqGibsDwQdQJIR2eqQNU1BvCtthoDr6PC6CibsDwQdSLioogEokgk8k6dL+0\nA6Y+bIuN5qCZOo9gm+PyQdSZKL0ANFOvC1faGdUEBwcjMjISKpWKaVMYgYq6AePr68t5UWei9ALQ\nTL0ucrkcIpEINjY2TJuiE2xsbGBtbY34+HimTWEE3oh6RUUFsrKy4OnpybQpWuPu7o68vDyUlpYy\nbYreYErUaab+L2xLdrSBz3V13oh6QkICPDw8YGRkxLQpWiMUCuHt7Y24uDimTdEbtPzCPFwUdT6P\nC+CNqLPVcbleV6flF+Zha2w0B59vllJRN3C4LupMZepOTk7Izs6mC1CDvbHRHOryCx8/XyrqBg7X\nRZ2pTF0sFkMqlSI3N7fD921osDU2msPFxQUAkJGRwbAlHQ9vRJ2tj0FTUdcftART287I1thouWsp\nmQAAIABJREFUDoFAwNu6Om9Ena3ZCNdFnanyC0BvlgK1518sFsPKyoppU3QOX+vqvBD18vJyyOVy\neHh4MG1Kq3FxcUFxcTGKioqYNkXnVFVVoaioiLFxrzRTZ2+yow18bWvkhajHx8fD09MTIpGIaVNa\njVAohI+PDyfbGrOysuDg4AChkBk3pJk6t0WdZuochu2Oy9USDJOlF4CKOsD+2GgOHx8f5OXl8e5m\nOBV1FsBVUWfyJilAyy8A+2OjOYRCIQIDAxEZGcm0KR0Kb0Td19eXaTPaDBV1/UAzdW6LOsDPujpv\nRJ3NjstVUaflF2ZRqVSIj49ndWy0BB/r6lTUWQBXRZ3pTJ3v5ZeMjAyYm5vD3NycaVP0Bh971Tkv\n6qWlpcjLy4O7uzvTprQZJycnVFRUoKCggGlTdArTmbqVlRUqKyt5sbh3Y7A92dGGHj16IDk5mdOT\nThvCeVGPi4uDt7c3Y21zukAgEHBytjrTmbpAIOB1ts4HUTc2NkaPHj0QFRXFtCkdBnuVTku44rhc\nLMEwLeoAv+vqXImNluBbCYaKOkvgmqirVCpkZ2fD0dGRUTuoqLM/NlqCbzdLqaizhM6dO3PqqdK8\nvDzIZDKIxWJG7eBz+SUuLo7Vrb7awre2RirqLIFrNXVDKL0A/M3U1e2MfBD1nj174sGDB6iqqmLa\nlA6BijpL4Fr5henOFzV8FfW0tDRYW1tDJpMxbYrekUgk8PT0xP3795k2pUPgtKgXFRWhuLhYMzCf\nzTg4OKC6uhp5eXlMm6ITDCVT52v5hSvJjrbwqa7OaVGPi4uDj48Pq9sZ1QgEAk5l64Yi6nzN1Pkm\n6nyqq7Nf7ZqBa47LJVGn5Rdm4VpstATN1DkC15bp4pKoG0qm7uDggNzcXCiVSqZN6VD4JupBQUGI\njIyESqVi2hS9w2lR55rjUlHXPUZGRrCxsUFOTg7TpnQoXIuNlrCxsYGdnR2n2oKbgoo6i+CSqBtK\n+QXg381SpVKJxMRE+Pj4MG1Kh8KXEgwVdRahFnVCCNOmtBtDydQB/tXVU1JSYG9vD4lEwrQpHQoV\ndZZTWFiI8vJyg8kGdYGtrS0EAgEUCgXTprSL0tJSVFVVwdLSkmlTAPBP1LmW7GgLX2bAcFbU1asd\nCQQCpk3RGVxpa8zKyoKzs7PBfDZ8K7/wVdTVbY1cuNJtDk6LOhcdlwuibkilF4Bm6nzB2dkZQqEQ\n6enpTJuiV6ioswwuiLoh3SQFqKjzBYFAwIsSDBV1lsEFUTe0TJ2WX/gDH26WUlFnGVTUdQ+fMvWa\nmhqkpKTA29ubaVMYgQ/jAjgt6lwcK8qFtkZDK7+oM3U2n1NtSUpKgpOTE+Nz7JmCZuosJS8vD9XV\n1XBwcGDaFJ1jbW0NU1NTZGdnM21KmzG0TF0mk0EkEqGoqIhpU/QOV69gtcXb2xsFBQXIzc1l2hS9\nwUlRVzuuobTM6Rq2l2AMTdQB/pRg+C7qQqEQQUFBnM7WOS3qXIXtom5o5ReAPzdLuR4b2sD1EgwV\ndRbC5qXtampqkJuba3ClMT5l6ly819QaqKizEK6LOpsz9ZycHNjY2MDIyIhpU+rBJ1HncmxoA9d7\n1amosxA2i7p6RIChwYfyS1VVFdLS0njbzqime/fuSE1NRUlJCdOm6AXOiTohhBeiHhcXx8oWPEO8\nSQrwI1NPSkqCq6srTExMmDaFUYyNjdGjRw9ERUUxbYpe4JyoKxQKCAQC2NraMm2K3rC0tIRUKmWl\nCBniTVKgNlNn4/lsDVxPdloDl+vqnBN19RJ2XG1nVMPWEowhZ+pcL79QUf8XLtfVOSfqfHFcKuq6\nhQ/lF77EhjZweVwAFXWWwlZRN9Tyi62tLYqLi1FZWcm0KXqDL7GhDQEBAXj48CGqqqqYNkXnUFFn\nKWwVdUPN1IVCIRwcHFg9fqEl+BIb2iCRSODl5YWYmBimTdE5nBH1bdu2oaioSOO4KpWKaZP0hkql\n0oh6aWkptmzZwrRJLTJ27FgkJCQgMzMTTk5O2LVrF2pqatq0rQcPHmDVqlWa/1+9ehXfffddm207\nevSoptUyMzMTo0ePRkpKSpu3Z0ioVCqsW7cOlZWVyMjIgKenJ6djozWoSzCpqalISkpi2hydwRlR\nP3fuHP744w88fvwYYrEY3t7ebRYNQ4YQAl9fXwiFQsTHx+Po0aM4ffo002a1iJubG3bv3o2srCxc\nvXoVmzZtglDYNvdzdnbG119/jczMTBBC8Pnnn8Pa2rrNtt27dw8fffQRnJyccOPGDdy8eROurq5t\n3p6hsXnzZpw7dw4eHh4ICwvDiBEjmDaJUWJiYnDw4EFNB8zy5ctx4sQJps3SGaKlS5cuZdoIXaBU\nKrFv3z7k5OQgIiICEyZMwDPPPMO0WTpHIBCAEIL169ejrKwMcrkcY8eORVBQENOmNYurqys+//xz\nVFdX48qVK9i3bx88PDzatC2xWIyysjKcPn0aRUVFyM/Px9atW9v8JdGvXz8sX74cMpkMDx48wMiR\nIzF8+PA2bcvQEAgESE5Oxo0bN2BkZIQ9e/bgm2++gZeXF9OmMUZVVRXGjBmDwYMH49y5c4iIiMCy\nZctgZ2fHtGm6gXCEwsJCIpFIiKurK3nmmWdITU0N0ybpDaVSSYYOHUrc3d2JVColeXl5TJukFQEB\nAcTU1JRMmzat3dvKz88n5ubmxNzcnBw8eLDd27tw4QKxsLAgEomExMXFtXt7hsTly5eJs7Mz8fX1\nJZ999hnT5hgEp06dIs7OzkQsFhNPT0+iUqmYNklncEbUCSEkKCiIGBkZkYSEBKZN0TvJycnExMSE\n+Pn5MW2K1sydO5eYmJiQ/Px8nWxv3LhxxMLCQmdf4AMHDiSurq462ZYhoVQqiUQiIU5OTqS8vJxp\ncwyGxYsXE4FAQMaNG8e0KTpFQAgLnzVvgv379yMzMxNz5sxh2pQOYePGjTA3N8f777/PtClaUVVV\nhdjYWPj7++tkexUVFUhNTdVZR0dhYSHkcjknpxjOmzcPw4cPx/PPP8+0KQaDUqmEn58fZs2ahalT\npzJtjs7glKhTKBQK39HrjdK4uDiEhoYiICAA9+/fx6VLl9CjRw9ERETgzp076NKlC/7++2/ExsbC\n29sb58+fR0ZGBjw8PHDy5EkUFRXBxcUFf/zxB2pqauDg4ICDBw9CLBbDxsYGe/fuhZ2dHaRSKXbv\n3g13d3cYGRlh165d6NKlC2pqarB79274+fmhuLgYP/74IwIDA5GTk4PDhw8jKCgIycnJ+PPPP9Gz\nZ088evQI58+fh7+/PyIjI3Hjxg1069YNN27cQExMDHx9fXHx4kUkJSXB09Oz2WO/fPky4uLi4O3t\njbNnzyI7Oxvu7u44fvw4SktL4ezsjN9++w2EENjb2+PAgQOQSqWwsrLCDz/8AAcHB0gkEuzatQue\nnp4QCoXYuXMnunbtiqqqKnz//fcICAhAYWEhfvrpJwQGBiIrKwu//vorgoKCkJiYiJMnTyIgIAAP\nHjxAeHg4/Pz88M8//+D27dvo2rUrrl27hgcPHsDHxwdhYWFIS0tDp06dEBoaivz8fLi6uuLIkSOa\npQEPHToEExOTFm8oVVZWIicnB+np6VAoFE3+KSgogFAohKmpKQQCAWpqalBaWoqCggIoFApkZWU1\n+35t/xQWFqKiogJKpRICgQAikQgCgQDl5eXIyspCZmZms+8vLi6GkZERTExMdDZ+4sqVK/X8PjMz\n8wm///3336FSqWBvb4+ff/4ZEokEVlZW9fx+165d6NSpE4yMjLBz5856fu/v79+k3yclJeH48eMa\nvw8LC4Ofn189v79+/brG78PDw5GSkoJOnTrh9OnTyM3NhZubG44ePYrKyko4OTnh0KFDMDIy0tkN\nx8TExBZtbBibycnJ8PT0bNLGw4cPw8jICLa2tti3bx8sLS1hbm6OPXv2wMXFBSYmJti5cyd8fX1B\nCMGuXbvQo0cPlJeX44cffkDPnj2Rl5eHAwcOICgoCGlpaThy5AgCAwMRFxeHv/76C/7+/rh37x7+\n/vtvdO/eHbdv30ZkZCQ6d+5c73PXF3rL1GNjY/Hcc88BAP7v//4Pf/75J4RCIcaMGYNDhw5BJBLh\nrbfewv79+yEQCPD2229j//79IITg7bffxsGDB6FUKjFu3Dj8/vvvUCqVGDVqFE6ePAkAGDZsGMLC\nwmBiYoLevXvj2rVrsLKyQqdOnXD37l24ubnB1NQU8fHx6NatG/Lz85GdnY3evXvj0aNHKCkpwTPP\nPIOrV6+ipqYGI0aMwKlTpyAQCPDqq6/it99+g0gkwtixY3HgwAGIRCJMmDAB+/fvBwDs2rULo0aN\navTYT548iXffffeJ45owYQIOHz6MmpoavPnmm/jjjz+gUqnwyiuvIDQ0FEKhEM8++yzCw8MhFosR\nGBiIGzduwNbWFs7Ozrh37x46deoEgUCApKQk+Pn5ITs7GwqFAk899RRiYmJQVlaGZ599FpcuXYJK\npcJLL72EEydOQCAQYPTo0RqnfvPNN7F///56x1X33NfU1GD8+PH49ddfoVKp8Nprr+HEiRNQqVQI\nCwtD9+7dkZeXh0OHDmkCS6FQIDc3FxUVFbC2toZUKkVlZSWqqqqgUqkgEomgUqlACIFSqYRKpUJN\nTQ2USiWUSiUIITAxMYGpqSkkEgnMzMzaLaKEEFRWVqKwsBBCoVCz7+rqahBCIJVKIRaLNfsRCoUQ\nCASav42MjFBZWYn8/HyoVCrY2NjA1tYW3t7e6Nu3L1577TX06NGjVTadPn0ab7/9tlZ+r1Kp8Oqr\nr2r8fujQobhw4QJMTU0RHByM69evw9raGu7u7oiKioKbmxtMTEyQkJCA7t27Izc3Fzk5Oejduzce\nPnyI0tLSen7/4osv4uTJkxAKhRg1ahR+/fXXJv2eEIKJEyfiwIEDUCqVmDBhAn755RcolUq8/vrr\n+PPPP6FUKnH+/Hn4+fm163NLSEjAs88+C5VK1arYbMnGY8eOgRCCl156CX/99ReMjY3Rv39/XLly\nBTKZDF27dkVERAQcHR1hZWWFR48ewdfXF+Xl5UhPT0dgYCCSk5NRUFCAAQMGICIiApWVlRg2bBjO\nnz8PAPjPf/6DI0eOQCgU4o033sDBgwef0Ltt27Zh7Nix7TpHTaE3UZ8xYwZu3LiBFStWYMWKFRgx\nYgSCgoKwYsUKjBs3Du7u7lizZg2mTJkCqVSKb775Bp9++ikqKiqwY8cOzJs3DxkZGfj555+xaNEi\nREdHIzQ0FIsXL8alS5dw9epVLFmyBMeOHcPDhw+xcOFC7Nu3D9nZ2Zg7dy62b9+OqqoqfPLJJ/j6\n668hk8nwwQcfYM2aNfDw8MCbb76JFStWICgoCCNGjEBISAiGDBmC/v37IyQkBKNGjULnzp2xevVq\nvPvuu7CxscFXX32F//73v/j7779x9epV3Lt3r9Fj79WrF4KCgjB06FBs2rQJn332GUpLS7F7927M\nnz8fycnJOHz4MBYvXox//vkHZ86cwZIlSxAWFoabN29i0aJFOHLkCB4/fowFCxbgxx9/RG5uLubM\nmYNt27ZBpVJhxowZ+Oqrr2BtbY1JkyZh9erV8PHxwZgxY7BixQr07t0bw4cPx/Lly/H888+jd+/e\nCAkJwRtvvAEvLy+sXr0akydPhqWlJTZs2ICZM2eiuroa27dvx9y5c5GdnY39+/djwYIFuH//Pk6c\nOIFFixZh2bJl8Pf3x9atW9GrVy+4urqid+/e8PX1ha2tLaysrCCVSiEQCLBnzx6cOHEC/fr1g729\nveaPubk5xGIxTE1NIRaLNf82MjLS+SC2kpISvPXWW+jTpw+CgoLg4+MDa2trWFlZQSKRtGp/FRUV\nKCgoQEFBAZKTk3H//n2EhobiypUrrRL2p556Ct27d8eIESOwcePGJ/w+PT0dBw8exKJFixAVFYVT\np05h8eLFuHjxIq5du/aE3//000+Qy+WYM2cOtm/fjurqasycORMbNmyAhYUF3n//faxevRqenp4Y\nO3YsQkJC0KtXL7zwwgsav+/Xrx9CQkIwevRo+Pr6YvXq1Zg0aRKsra01fk8IwbZt2zBnzhwoFAr8\n9NNPWLBgAR49eoRjx45h0aJFWLFiBbp27Yrvv/++LR+XhlmzZuHChQtYv349Vq5cqYnN5cuXa2xc\ntWoVJk2aVC82AWDr1q34/PPPkZeXhx9//BELFixAbGwsjh49isWLF+P69esIDw/H4sWLcfr0ady9\nexeLFi3C4cOHkZKSgvnz52P37t0oKSnBrFmzsGnTJpiYmGD69OlYt24dHB0dMXHiRKxcuRLdu3fH\nyJEjERISgoEDB2Lw4MEICQnByy+/DD8/P6xcuRLjx4+Hi4sL1q5di2nTpuHOnTs4e/YsYmNj23WO\nmkJvol5YWIghQ4ZgwIABrLmRpw0RERGYO3curly50uQNv4cPH2LgwIEICQlB//79O9hC/fHTTz8h\nLCwMFy9exO3btzF37lzs3r27UWEkhGDEiBHYvXt3m/vRdUFoaCjOnTuHr7/+Wi/b37lzJ8RiMTZt\n2qT1ex49eoRBgwbhyy+/xMCBA/ViFxPs378fZ86cwaVLl9o9+rqoqAjDhg1DUFAQpk+friMLmefu\n3bv49NNPcfnyZQQGBuplH3p7ovT69etITU1tteG3b99GRkbGEz9ft26drkxDeHg4iouL6/1MoVBg\nz549Lb7Xzc0NNjY2+P3335t8zdGjRyGTydCpU6dW2WXoxx4QEIDMzExcvXoVd+7cgb+/f5OZrkKh\ngEqlgru7u07sBtCmDoVHjx6hZ8+emv8fP34cx48fb5cdS5cu1XxOPXv2bPW0v2PHjsHMzIxz/uHv\n74/s7GxcuXKl3Xbcvn0bCQkJrX6oztDPkaurKxwcHHD48GGd2dMQvYn67du3YWdn1+r2sIiIiEY/\nlLlz5+rKtEY/FDs7O0yePLnF99rZ2SEgIACXL19u8jWXLl2Cv78/7O3tW2WXoR+7j48PnJyccPPm\nTURERKBLly5NvvbRo0fo2rUr43Pt1Xboi65duyIqKqpVq1BdvnwZfn5+cHR0bNW+2OAfzs7OuHnz\nZrvtiIiIgI2NTas/O0M/RzY2NggMDNTJF19T6G313wULFuDUqVP4/vvvMXv2bJSXl2P+/PkoKyuD\nm5sbZs6cifnz56OyshLdunXD/PnzsWTJEkRERCAsLAze3t5YvXq1ZntTp07Fzp07AQC5ubmYO3cu\nqqur4e3tjcDAQPzxxx+wtLSEqakp5HI5XnzxRbzwwgtYuHAhampq0KtXL3z88cf4+OOP8fjxYyQk\nJCAwMBCzZ88GAGRkZGDnzp1QNwOlpaUhJCQEZWVl6N+/Pz7++GMAtYIdHh6O+Pj4Jo/9wIED8PHx\nwfnz5zFixAjOHPsPP/wAiUSCpUuXYtCgQfVmiFRWVmL+/PkoLCyEnZ0d+vTpU68L4vjx44iLi8OD\nBw+Ql5eHtWvXwsfHB+vWrcODBw9gaWmJ5cuXw8LCQiv/IoRg5cqVSExMhK2tLVavXo3Q0NAn9pGT\nk/PEVMi4uDhMnTpV85q9e/ciIyMDFhYWWL9+PYyMjDB16lRN18WWLVuQmZmJhQsXwsTEBBUVFZpt\nWVtbo6amBsXFxVrbvm/fPvj4+ODs2bN46aWXOOMfP/74I0xMTBASEqLVeWiOzz//HKGhodi+fTu+\n+OILzpyjq1ev4q+//kJcXFy7z1FT6C1T37x5MzIyMjBhwgQAtavIjx49Glu3bkV6ejpu3boFHx8f\n7N27F71794ZKpcLy5cvxyiuvYM6cOfU+kIZERUVh4MCB+Oqrr1BYWIjXXnsN5eXlWLduHWJjY7Fy\n5Uo8fvwYWVlZmDZtGjZv3oxLly4BqJ3mOHDgQKxZs0bzgTTGpk2b8PHHH2Pfvn2oqKhAWVkZAGDQ\noEHo06cPpkyZ0uR7p0+fjoCAADz77LOcOvbx48cjPz8fGzZsAIB6WXhCQgIAYM+ePRg1ahSuX7/+\nxCyW6OhobNu2DVOnTsXFixdx+fJlVFRU4IcffsDQoUPx008/NWlTQy5evIiamhp8//33cHJy0mQ+\nDfehUqmeuFqo+5qwsDD069cPO3bsgEwmw8OHDwHUDn3q0aOHZgLmjz/+iIkTJ2Lr1q1PZGmtvRr5\n6KOP4Ofnp+kO44p/jBs3DsXFxTopdWzfvh0JCQl49913OXWO+vXrh0GDBmmV1bcVvWXqLi4uKCkp\nQV5eHpycnGBqaorQ0FCEhoaiuLgYvr6+iIyMxKeffooePXq0ahiTeuLf1atXNXVWGxsbSCQSODs7\nQyQSadrj9uzZAzMzM5SXl7fK/qSkJE1HwyeffAKRSAQAKCsrQ05OTrMtW+7u7oiOjkZpaamms4ML\nx56Xl6fpoW5It27d4Ovri88++wyurq4oLi5+YnLiiBEjYGxsDBsbGyQmJiIhIUFT7+7ZsyfCw8Nb\nZWNUVBSmTp2K8vJyeHl5wcjI6Il9NHZu674mOjoaKSkpuHjxIvLz8zVZuLe3N4YOHap5T3p6Ojp3\n7gwjI6N2l3Pc3d1x584dlJSUcNI/dDHh0tnZGWVlZcjNzYWLiwtnzlFZWRmysrL02kCht0x95MiR\n8Pb2xoULFwAAR44cwZAhQ7By5UqYmZnh7t27mpau69evIy0tDQBgamqqCaym6pTqdqTvv/8e/fr1\nQ01NDZKSkp7IoPbt24d33nkHCxcurJdNmZqatvgheXp6agboz5w5E6mpqQBqZ3mnpKQ0+y396aef\nIjMzU9PyqM9jLykpQVJS0hNjhvVx7OHh4XB1dcVrr70GgUAApVKpec+jR48QEBCAb775BgUFBbC3\nt3/CJolEUu//Pj4+iI6OBlCbPfv4+DRrV0MbR4wYgZ07d+LTTz/VPAzWcB8qleqJ+eF1XxMWFgZP\nT0+sW7euXrnIzMys3nucnJwQHx+PmpqaepfO6r731mTrM2fOhFwu1xy7Pv1DoVAgJSUF1dXV9V6n\nD/+4dOkSnJycMHr0aK3PRVO89NJL6Nq1K86dOwdAv+cIAFJSUjTHoUYf5+jx48eIj4/XaY2/IXrL\n1BctWoSKigrNN2G/fv2wevVq/PbbbwBqM6HNmzdrnlZUL3E2bNgwLF26FLt27cLKlSvh5ub2xLa7\nd++O2bNnw9XVFY6OjnjjjTeQn5//RN/n4MGDsXLlStja2kIsFkMul8Pe3h4vv/wyQkJCoFKpNC1p\nDZk5cyZCQkJQVVWFAQMGaNryBgwYgFdeeQVjxozB7du3Gz32sWPHYsSIEZryiz6PfdiwYcjPz0d6\nerrej/3999/HnTt3MG/ePPj6+iIlJQW9e/cGUHtXf8uWLdi9ezfMzMwwfvx47N69u9Hzo+bpp5/G\n1atX8d5772lq6toyePBgXLlyBe+//z6EQiFWrFihCey6uLu7Izk5uclRs4GBgfjrr79w5coVmJmZ\nQaFQNPq6d955B4sWLcKBAwdgYmKi+XlOTg5kMhnMzc21tn3cuHEYNmwYhgwZAkC//qF+ArLhudGH\nf0yaNAkRERGYM2cOvv32W63PR2MsW7YMBQUF+Oijj/R+jmbMmAGFQoFr167p/Rz16dMHY8eOxahR\nozRf6rpGb33qUVFRGDFiBP773//ixRdf1Om2d+zYgYiICBgZGcHU1BTPP/881q9fj5CQEDz99NM6\n3VdDEhIS8NFHH+Gbb77B22+/3ehrDh8+jI8//hhbt27V+fJhDY/9mWeewZYtW/DVV19pBFZfqPu9\nT506pXkAbN68eY2+tqCgAK+++iouXLjQ5jnnumDbtm0wNjbW28CmS5cuITQ0FGfPntX6Pb/++is+\n/PBDbN68WeedOQ39w8vLC6dOncLy5cvx1FNP6XRfDQkLC8P69esRGhqKPn36tGtbMTExeOGFFzBl\nyhSMHDlSRxbW0vAcTZ8+HW+//TamTJmi98FeycnJmDZtGtauXau3urreMnWZTAYzMzPNDQJdMm3a\ntHr/P3/+PMRiMUpLS3W+r4aoH3lvbr6Fra2t5vF0XdPUsTeVYeqS8vJyiMVimJubo3fv3ti6dStq\nampgZPSkG1lZWcHCwgL379/X2VTGttCtWzccOnQIU6ZM0Ut75a1bt1otlh3pH5s3b4aVlVWH+oe2\nXUDNIZPJIJFIWl3L1oaG56igoACmpqYdco6qq6s183z0hd4Gei1evBgFBQUYM2YM3nvvPZSUlMDM\nzAyTJk3SzNOYPHkyrKyskJ2djalTp8Ld3R0PHjzAjBkz0K1bN/z999+YO3cugoKCcOLECSxbtgxP\nPfUU9u3bhw0bNmDgwIHYunUrfvnlF5iYmODx48c4ceIEBg0ahIULF+LEiRPo27cvZs+ejYsXLyI4\nOBgff/wx/vnnH3Tv3h1TpkxBYmIi3N3dMXnyZOTm5sLS0hKTJk3S1IsnT54MqVSK/Px8fPDBBwgI\nCICrqyt2796tuTRsyOuvv46hQ4dCKpVi2rRp8PT0RHR0NGbOnIkePXrg4sWLmDdvHnr16oWjR49q\nnjz94YcfsHHjRgwcOBCbN2/G7t27MWjQIISEhOCXX37BgAED8MUXX+DUqVN46qmn8OmnnyIiIgJK\npRLXrl1DXFwcunTpgg8++AApKSlwcXHBe++9h8LCQshkMkyaNEkzOEs9IkAul2PKlClwc3NDbGws\n/vvf/6JLly64fv06Pv/8cwQGBiI0NBRffvklJkyYgAcPHiA2NhYfffQRTp06hR9//BGJiYmQy+WQ\ny+UoKipCVVWVZiHnJUuW4OrVq7h58yaio6ORkJCA5ORkpKSkID09HTk5OcjNzUVBQQFKS0tRUVGh\nqcWr56+0Bzc3Nxw5cgTHjh1DUlISFApFPTtFIhGMjY2b3U9FRQUUCgXS0tIQFxeHe/fu4fz589i/\nfz/u3LmDPXv2tKr8MnbsWAwePBiWlpaYOnUqPDw8cP/+/Ub9/vjx41i+fDn69u2Ln359Qo7SAAAg\nAElEQVT6SeP3W7Zswa5duzBo0CCsXr0aBw8exMCBA7FgwQKN38+aNQv//PMPbG1tERYWhtjYWHTt\n2hVTp05FYmIi3Nzc8P777yMvL0/j9+p7EO+99x5kMpnG752dnREfH4+PPvoInTt3xq1btzB79mwE\nBATgzJkzWLx4McaPH4/Hjx/j/v37ePXVV9v1uS1fvhyZmZmYMGECJk+erLWNCQkJ+PDDD+Hr64uI\niAjMmjUL/v7+OHv2LBYvXow+ffrg8OHDWLNmDQYMGIAdO3bgu+++Q1VVFTIzM3Hu3DnN075HjhxB\n//79MWfOHJw7dw59+vTBjBkzcPPmTfj5+WH69Ol4+PAhvLy8MHnyZGRlZWn61cvLy2FsbIz33nsP\nJiYmKCsrw/vvv48uXbrAy8sL27Ztw8yZM9t1jppEX4PaFQoF6dmzJ5FIJGTDhg2kS5cuxNzcnGzb\nto24u7sTKysrsmPHDuLo6EhsbW3Jzp07ia2tLXFwcCA7duwgVlZWxM3NjXz77bfEwsKC+Pr6kq+/\n/ppIJBLSs2dPsmrVKiIWi8nAgQPJoEGDiEAgIF27diUzZ84kYrGYjB07lrzzzjtELBaTDz74gIwa\nNYqIxWIya9YsMnToUCIWi8nSpUvJU089RczMzMi6detIjx49iEwmI5s3byaenp7E0tKSfPfdd8TZ\n2ZlYW1uTnTt3Ejs7O2JnZ0du377d5LFHRkYSe3t7zXHZ2NgQR0dHsmPHDmJpaUnc3d3Jtm3biLm5\nOenSpQvZsGEDkUgkJDg4mISEhBCxWEyeeeYZMm/ePCIWi8n//d//kQ8//JCIxWLy1ltvkQkTJhCx\nWEymT59O/P39iUAgIH379iXPPvssEYvFZPny5aRXr15EIpGQr776inTt2pXIZDKyZcsW4uHhQSwt\nLcn27duJo6MjsbGx0RyXvb092blzJ7G2tiYuLi6ac+/t7U02btxIpFIp6dGjB8nJySGEEFJdXU3C\nwsLI2rVrycSJE8mLL75I+vTpQ7y8vIiFhQUB8MQfY2NjYmZmRqRSKTE3NydWVlbE1taW2NraEhsb\nG2JlZUXMzc2JWCxu9P1t+WNsbEwkEgkxNzcntra2ms/GwsKCmJiYtPh+U1NT4uLiQgICAsjQoUPJ\n2LFjyRdffEGOHDnSplWnoqKiiIODQ4t+b25uXs/vAwMDycqVK4lYLCaDBg0iCxYsIGKxmLz44otk\nxowZGr+fOHEiEYvFZOrUqcTe3p4IhULSu3dv8txzzxGxWEyWLVtG+vTpo/H77t27a/y+U6dOGv9w\ndnZu0j+cnZ3Jd999RywtLYmXlxfZtGkTkclkpFu3biQ7O7vNuqEmPz9f48MNbVTHptrGurHZko1q\nH167di0xMzMjffv2JR9++CEBQCwsLMisWbOIWCwmo0aNIh988AERi8Xk3XffJW+88QYRi8Vk5syZ\n5IUXXiBisZgsWrSIDBgwgJiZmZFVq1aRnj17EqlUSr755hvi4+NDLCwsyLfffktcXV01eqf+3K9f\nv97uc9QUel35KC8vj9y6dYsQQkh2djaJjIwkhBCSlpZGYmJiCCGEJCUlkdjYWEIIIY8fPyaJiYmE\nEELu379PUlNTCSGE3L17l2RlZRFCCLl9+zbJzc0lhBBy/fp1UlRURCZPnkwGDBhAlixZQlQqFQkP\nDydVVVWkpqaGXLhwgSiVSlJZWUkuXrxIVCoVKS0tJX///TchhJCCggJy8+ZNQgghcrmc3LlzhxBC\nSEZGBomOjiaE1K4y9PDhQ0IIIfHx8Votd5aQkEAeP35MCCEkNjaWJCUlEUIIiYmJIenp6YSQWvFX\nB8CtW7c0AnH16lVSXFxMVCoVuXTpEqmoqCAqlYpcuHCBVFdX1zuukJAQ0q9fPzJx4kRSXFxMrl69\nSgipDQr1uc/JySH//PMPIYSQ9PR0cu/ePc25f/Tokebcq1eMevDggebcR0VFkczMTEIIIREREUSh\nULR47JSWSUxM1Ph9bGxsPb9PS0sjhNT6vdo/6vr9tWvXSFFRkcY/ysvLNX7f0D/8/PzI+++/T8aP\nH09KSko0fp+fn1/P79X+kZGRofGPun4fFxdH4uPjCSGEPHz4kKSkpBBCCImOjtb4x507d4hcLtfZ\nOWoYmy3ZGB8f3yobb9y4QQoKCsi1a9eIr68vcXNz05zHyspKolQqyYULF0hNTQ2pqqoi4eHhRKVS\nkfLycnL58mVCCCFFRUUagc7NzSURERGEEEKysrLI3bt3CSGEpKamkvv37xNC6uuCvuDEIhkvv/wy\n7O3t4ejoiLVr1zJtToeyaNEipKSkICsrC2fOnGHaHIqBYW9vj23btmHHjh2a0bCU+pw7dw4rVqzA\ntWvXUFFRwfhoi/bCXFuCDsnMzISDgwNKSkqYNqXDKSkpgYODAzIzM5k2hWJgVFVVobCwEN26daP+\n0QwlJSWwtLSERCJBXl4e0+a0G06IelZWluYpRr5RXFwMFxcXZGVlMW0KxcDIzs6Gvb09XF1dqag3\nQ3FxMczNzeHs7MyJOGK9qCuVSsjlcjg7O/M2U3dyckJhYSGqqqqYNodiQGRlZcHJyQk2NjYoKyur\nN4iM8i8lJSWQyWRwcnLixJcf60VdLpdrVrLhq6hbWFjA3t4e2dnZTJtDMSAyMzPh7OwMgUAAR0dH\nTmSh+kAt6s7OzlTUDQF1NmJubs7b8ou5uTmcnJxo0FLqoY4NANQ/moFrMcR6UVdnIzKZjLeZOpey\nDIruUMcGAOofzcC1GKKiznK45pAU3UFFXTu4FkOsF3VafuHWpSNFd9Dyi3ZwLYZYL+o0U+dWlkHR\nHTRT1w6uxRBnRN3U1BQ1NTVPLAbAZVQqFcrKyiCVSjnjkBTdQUVdO6ioGxjqS0yBQABzc3NeZetl\nZWUQi8UQiUScuXSk6AZCCLKzs2n5RQvU5RcrKytUVlbqZVx4R8J6Ua+bjfCtBKPOMACaiVHqk5eX\nB4lEolmVh/pH06jjSCAQcOLLj9WiTgipdzOIz6Lu5OSE7OzsJtdlpPCLuskOADg6OiInJ6feurKU\nWhrGERV1BikuLtaUXQDwrgNGfdkIAGKxmDMDiSjtp26yAwAmJiawtLREbm4ug1YZJnXjiAtXNKwW\n9YbZCJ8zdYAbDknRDQ1jA6D+0RiEEJSUlEAqlQLgxjlitag3zEb4LupcuHSk6IaGsQFQ/2iMiooK\nGBsbw9jYGAA3zhGrRb1hNsK37peSkpJ6a2NyIcug6AaaqWsHF2OIU6Iuk8l4V1On5RdKY1BR1w4u\nxhCrRZ2WX2j5hdI4tPyiHVyMIVaLOi2/cO/SkaIbaKauHVyMIVaLelZWFi2/NLh0ZHuWQdENVNS1\no2EMOTg4QKFQsLqfn9WinpmZScsvDS4dadBSysrKUFlZCSsrq3o/50JpQdc0jCFjY2NYW1tDLpcz\naFX7YL2o0z51bt3kobSfuvOQ6kL940kaxhDA/vPEWlGvqqpCYWEh7OzsND/j8xOlADgzkIjSPhor\nvQC18UEI4VWMtETDGALYf0XDWlHPzs6Gg4MDhMJ/D4HvmTpXBhJR2kdjnS8A9Y/GoJm6AdFYNsJ3\nUQfY75CU9tNUpg5Q/2gIF2OItaLeWDbC9/ILwP5LR0r7aSpTB6h/NISLMcRaUaeZOjezDEr7oZm6\n9nAxhqiosxguOiSl/VBR1x4uxhBrRb2xS0z1w0d8WSiCi5eOlPZDyy/aw8UYYq2oN5aNmJiYQCgU\noqqqiiGrOg6lUomKigqYmZnV+znbswxK+6GZuvY0l6mzNTlkrag3HBGghi8lmNLSUkil0notnQAd\nFcB3lEolFAoFHBwcGv09FfX6NCbqMpkMIpGItU0XrBX1hiMC1PClA6axy0aAjgrgO3K5HNbW1ppF\nHxrC9tKCruFiHLFS1BsuOF0XvmTqjWUYADcGElHaTnOlFwCwt7dHfn4+qqurO9Aqw6WpOGLzFQ0r\nRT0vLw9SqRRisfiJ3/Fd1LkwkIjSdloSdZFIBHt7e2RnZ3egVYZLU3HE5isaVop6c47L9/ILwO4s\ng9I+mut8UcNmwdIlKpVKc2+qIWyOIc6JOt8zdYDdDklpHy1l6gD1DzVlZWUwMzODSCR64ndsPkes\nFPXmshEq6jQT4zNNdYXVhXZI1cLVGGKlqLdUfuGLqNPyC6UhTXWF1YXNnR26hKsxxDlR58uSdg2X\n4aoLmx2S0j5o+UV7uBpDrBR1Wn7h7qUjpX3QG6Xaw9UYYqWo0/ILdy8dKW2HEEIz9VbQXAzZ2dmh\nsLCQlSNHWCnqLWXqfC+/sDnLoLSdoqIiiESiJv1CDRX1WpqLIaFQCAcHB1b287NS1GlLo3YtjWwd\nSERpG9qUXoB/v/T57h/NxRDA3i8/1ol6WVkZKisrYWVl1ejvafnl34FERUVFHWwVhUm0Kb0AgJmZ\nGczMzJCfn98BVhkuzcUQQEW9w1BnIwKBoNHf0/JLLbQEwz+0FXWAvYKlS7gaQ6wT9ZYcl5ZfaqFB\nyz+0Lb8A7BUsXcLVGKKizlK46pCUtkMz9dbB1Rhinai3lI3QgV610EyMf1BRbx1cjSHWiTrN1Gvh\napZBaTu0/NI6uBpDrBP1lgYWSaVSlJSUcL5dSxuH5HvQ8g2aqbcOrsYQ60S9pYFFRkZGMDU1RXl5\neQda1bFUV1ejpqam0UVC1NChTfyDZuqto6Xyi6OjI7Kzs1mXILJS1FvKRrheglFnGE21dQI0E+Mb\nVVVVKCoqgp2dnVavp/7RcqYuFoshlUqRm5vbgVa1H9aJujbZCF9EvTloJsYvsrKy4ODgAKFQu5Cm\nos7dOGKVqCuVSigUCjg6Ojb7Oq53wLR02QjUDiQqKipi5UAiSutpTekFAKytrVFeXs7pMmVLaBNH\nbPzyY5Wo5+TkwMbGBkZGRs2+jmbq/w4kYluWQWkbrblJCgACgYCVWagu0SaOqKjrGW2zESrqtfA9\naPlEa0UdYKdg6QqlUonKykpIJJJmX8fGGGKVqGvruLT8Ugufg5ZvtLb8ArBTsHRFSUkJpFJps80G\nADtjiJOiTjP1WtjokJS2QTP11sHlGGKVqNPySy20/EJpCBX11sHlGGKVqNPySy20/EJpCC2/tA4u\nxxCrRL2lEQFqaKZeC1sfc6a0Hpqptw4uxxCrRL2lEQFqqKjXQkcF8AOVSoXs7OwWn99oCJ8zdW1j\nyNLSElVVVSgrK+sAq3QD60Rd2/IL10Wdq5eOlNaTl5cHmUzW7CygxuCzf2gbQ+p+fjadJ9aIOiGk\nVTdKuV5T1ybLUA8kUqlUHWAVhSnaUnoBav1DLpdD+f/snXd8FNX6/z/ba3oFREpo0q9XMQhEVES5\ngoqKooJcwlcRAUFEAUHBAqEmlyrNICIdpIQiJXQIHaUTIAFCSa/bs7vz+yO/XdKT3czuntk579fr\nvvAm7M6HOc/zmec8M3OOxeICVWRT2xwCuDej4YypFxYWQiQS1WogaPulBLlcDrVajdzcXDeoongK\nZ26SAoBEIoG/vz+ys7NdoIpsaptDAPdmNJwxdUeqEdp+eQzXApLiOM5W6gB/48Obc4gzpu5INULb\nL4/h2tSR4jjU1B3Hm3OIM6buSODS9stj+Jq0fMLZ9gvAPcNiC2/OIWrqHMSbA5LiOLRSdxxvziHO\nmLoj1Qh9o/QxfK3E+AQ1dcfx5hzijKk7ErhKpRJ6vd4rH+VjGMarqwyK49D2i+N4cw5xxtQdCVyh\nUAiFQsGpt8Bqi8lkgkAggFQqrdXf52vS8glaqTuOI6YeGhqKnJwczjzPzxlTdzRwvbUF48i0EeBv\n0vIFrVYLk8kEPz8/pz7P14u+I3kkFosRGBiIzMxMF6tiB681dW+9WepIhQFQU/d2bIvc1bTZQ1XY\n4oNhGJaVkY035xEnTN1oNKKoqAhBQUG1/gw19RJsCxJptVoXqqJ4irq0XoCSGa1AIPDKWW11OJpH\nXJrRcMLUMzIyEBoaCqGw9nJp+6UEgUDAyeVDKbWjLjdJbXDJsNjCm9uYnDB1Z6oRWqk/hksBSXGM\nulbqAP/iw2QywWKxQCaT1fozXDpHnDB1Z6oRauqP4WMlxheoqTuOVquFWq126D4El3KIE6buTODS\n9stj+Ja0fIK2XxzH23OIE6Ze223sSkMr9cfQnrr3Qit1x/H2HOKEqdd2G7vSUFN/DNd2bqHUHmrq\njuPtOcQZU6ftlxK8fepIcQzafnEcZ3LIZupceJ6fE6ZOb5Q+ht4opdgwm83IyclBaGhonb6Hbxd9\nZ3JIrVZDLBajsLDQRarYgxOmTh9pfAx9pJFiIysrC4GBgRCLxXX6Hr5d9J3JIYA7eUS8qVutVmRk\nZDhcqXvrlnaObMNlw7YgkdlsdpEqiidgo58OACEhISgoKIDJZGJBFfk4k0MANXXWyM3NhVqtduhF\nAcB7t7RzZBsuG7YFibKyslykiuIJ2DJ1oVCIkJAQZGRksKCKfJzJIYA7MxriTd3ZwKXtl7Jwpcqg\n1B42bpLa4IphsYG355DXmjptv5SFKwFJqT1sVeoAv+LD23OIeFN3thqh7Zey8KkS4wvU1J3D23OI\neFOn7ZeyePvUkVJ7aPvFObw9h4g3dWeWCABo+6U8XHrNmVI7aKXuHN6eQ8SbujNLBACAXC6H0Wj0\nqsf4bJtOq1Qqhz/LpdecKbWDmrpz1KX9woVzxAlTdyZwBQIB1Gq1V+34o9frIZVKnXrZhE9JywcY\nhqHtFydxtv0SFBSEoqIiGI1GF6hiD+JNvS6B6219dWeDEeBX0vKBgoICSCQSp2ZtlcGni76zeSQU\nChEaGkr88/zEm3pdppjlF/W6cOECW7I8grPTRqDyDYa5fj74jLNtyaoIDw9HRkYGL+KDjTyyQeI5\nItrUtVotiouL4evr69TnbZX62bNn0aNHDyxYsACXLl0CAE6stlYe2w0eZ7SrVCpIJBIUFBR4zfng\nM7YHCNgaN7lcDqVSidzcXK+Pj7rMeG2mTvI5ItrU09PToVar0bNnTyxZsgRJSUkAStaDqQ02U9+9\nezc6d+6MOXPm4OrVqyguLnZoKytS0Gg0MBgMeOWVV5w6H7YWjLecDz7z6NEjmEwmp2OhMmyG5c3x\nwTAMioqK0K9fP6/NIWJNPT8/H4mJiTCbzfjpp5+gVCoxa9Ys5OXlQSisXrbFYsHs2bORk5OD7Oxs\ntG7dGhqNBgMGDMCRI0fwzTffACDnylob8vPzcfbsWeTl5Tl9PqxWK+7cueMV54PP5Ofn4/Tp00hP\nT3c4FirDFh9msxl379712vjIz8/HsWPHwDAMpk6d6lQOpaWl4d69e0SfI+JMvaCgAIMGDcK7776L\na9euwc/PD507d8bAgQMRERFhv7JWxdWrVzFo0CAYjUYYjUZs3rwZPXv2xKBBg7Bw4UL06NEDly5d\ngsFgIObKWh2lz8edO3egVqudPh8CgQArV67k9PngM6Vj4fbt2wgODnYoFiqjdHwAwO+//+518VH6\nvF2/fh0SicTpHNLr9di/fz/R56huCzGzzN9//41169YhIiICX331FYYPH47CwkIcOnQI3bt3R1ZW\nFtq0aVPl5/ft24eDBw+iYcOGaNGiBYxGI1JTU5GcnAydToeFCxciNTUVc+bMgVwud+O/zDnKn48v\nv/wSeXl5Tp8Pq9WK5ORkzp4PPlM+Ft59911otdpax0Jl8CE+yp+3WbNmwWq1Op1D27Ztw8OHD4k+\nR0RV6n5+fkhJSYFCoUD79u3RoEEDyGQyxMTE4K233oJIJEJwcHCZKY7RaMTWrVvxzz//oFmzZti7\ndy8MBgPi4uLw7LPPolOnTkhJSUG3bt3w888/Y//+/ejQoQMR06SaKH8+WrZsCYlE4vT5eOmll9Cy\nZUvOng8+Uz4WVCoV5HJ5tbFQGdXFR48ePbwuPsqfty5dukAkEjmdQ4MGDYKPjw/R54goU2/SpAne\ne+89qFQqZGVlQSwW44UXXsC7776LWbNm4ddff4VKpSozxRGJRMjPz8fXX38NgUCA119/Hb6+vujd\nuzeysrKwZcsW5OXlAQDCwsIAlNwUIWGaVBPlz0dISAjat2/v9PnIzs7Gvn37OHs++Ez5WDAYDHjn\nnXeqjYXKqC4+MjMzsX//fq+Kj/LnrVmzZggLC3M6h27duoWUlBSiz5GAIeXy8v/Jy8vDihUr0LBh\nQ8THx2PgwIH48MMPa/xcfHw8Dh06hLS0NMTHxyM8PBwDBw5ESEgIfvnlFzcodw2lz8fff/8Nq9WK\nmJiYGj9X2fmYOHEiTp8+jWPHjrlBOYVtSsfC0KFDceLECbRq1cqp76osPr777jscP37cqd48yZQ+\nb/7+/vjpp59w5MiRGj9X2TlauXIlRo4cCaPR6NRNaXdAnKqAgAC0a9cOYWFhePToUa2DNjo6GlOn\nToXBYMDu3buhUCjw8ssvA6jbY16epvT5KCoqqvULJ5Wdj8GDByMvL4/T54PP2GIhICAAGo0GLVq0\ncPq7KouP6Ohor4yP8jkUFBRUq89Vdo4+++wz+Pr6Er2LGFE3Sm306NEDAoHA4SUCGjZsiGbNmsHf\n3x/A4+fUSb2i1hbb+fjtt98cemmi/PmwPWPL9fPBZ3r06IF79+4hLCyszuNYPj5sz6l7Y3zYcuj3\n33+vUw4BJXmUmZlpb72QBpGjJxAIYDabkZOTg9DQ0Fp/TqvV4plnnsF7770HwHvWfrH16hx9E678\n+eDKgkSUqnGm2KmK8vHh7+8Po9EInU5X5+8mDbZyCCB/nRwiTR0AMjMzERQU5NCKhCqVCqNGjbJ/\npvzaL1ynqKjIoXWgy58PoVCIsLAwurAXx2Fryd3y8SEQCLx+4be65hBATd1p2KhGvKVSt1GXNSts\neHvS8gE211EvD+mGVVf4kEPEmjobgUtNvSLenrR8gM111MtDumHVFT7kELGm7uw2dqXxti3tnN2G\nqzSkBySlZmil7jx8yCFiTZ2N9aLVarXX9dS9fepIqRlq6s7Dhxwi2tRp+6UsfJg6UmqGtl+chw85\nRKyps9F+kclkYBgGJpOJJVWew2q1Qq/X13n7MtIDklIztFJ3Htp+8SBsbdflLdW6VquFQqGo84sh\n3l6JeTtWq9WlL76Qblh1hY32i6+vL8xmM7G+QrSps1GNeIupszFtBLw/ab2dnJwc+Pj4QCaTueT7\nvf2iz0YeCQQC1KtXj9jzRKSpMwzDWt+QmnpZwsLCkJmZ6XXre/AFV7ZeACA0NBTZ2dmwWCwuO4Yn\nYSuPSL74EWnqBQUFkEgkde4fA97zVqmjb8JVhUwmg4+PD3JyclhQRXE3rrxJCgASiQQBAQFEL1hV\nF9jKI5JnvESaOhs3SW3QSr0iJAckpXpcXakD3hsfDMNAq9WyUiySfI6INHW2bpIC1NQrg+SpI6V6\nqKk7j16vh1QqdWg9qaogOYeINXW2Ape2XyrirUnLB1zdfgHINqy6wJccItLUafulIrT9QgFopV4X\n+JJDRJo6bb9UhLZfKAA19brAlxwi1tRp+6UsfJk6UqqHtl+chy85RKSp0/ZLRfgydaRUD63UnYfN\nHAoNDUVubi7MZjMr38cmRJo6bb9UhC9TR0rVaDQaWCwW+Pr6uvQ41NRrRiQSISgoCJmZmax8H5sQ\na+q0/VIWvkwdKVVja73Y9tt0FbaLPsMwLj2Ou2EzhwBy84g4UzcajdBoNAgMDGTl+2ilXhFfX19Y\nLBavOC98wh2tF6AkZ0QiEQoLC11+LHfCZg4BIHb9F+JMPT09HWFhYXVejdAGNfWK8GGDYW/EHTdJ\nbXhjfLBt6uHh4bRSrw1s3iQFaPulKkidOlKqxl2VOuCd8cGXHCLO1Nm8SQrQSr0qvLES83aoqdcN\nvuQQkabOZuBSU68cb0xab4e2X+oGX3KIOFN3RfvFW0ydD1NHStXQSr1u8CWHiDN1ttsvKpUKRUVF\nnH88i41tuErjjZWYt0NNvW7wJYeINHU2A1cikUAsFsNoNLL2ne7GbDbDZDJBoVCw9p3emLTeDm2/\n1A1XPdJIWsFInKmz3X4BuN+C0Wq1UKvVrL50Qk2dW5jNZuTm5iI0NNQtx/PG+GC7/aJUKiGVSpGf\nn8/ad7IBcabOdvsFKLlZyuXHGtmeNgLeWYl5M5mZmQgKCoJIJHLL8bwxPviSR0SZutVqRWZmpktM\nncuVOtvTRoDsBYkoFXFnPx0AgoODUVhYCJPJ5LZjuhpX5BGJMxqiTD0nJwe+vr6QSqWsfi819YqI\nRCIEBwcjIyOD1e+luAZ3m7pQKERoaChxVWhdoKbuAVzRegG4/1Yp22/C2SBx6kipHHfeJLXhTfFh\ntVqh0+lY2XS6NCSeI6JM3RU3SQFaqVcFiVUGpXLcXakD3hUfWq0WSqWStTWlbJB4jogydVdV6tTU\nK4fEKoNSOdTU6wafcog4U3dF4NL2S+V4U9J6O7T9Ujf4lENEmTptv1QObb9QaKVeN/iUQ0SZOm2/\nVA6fpo6UyqGmXjf4lEPEmTptv1SET1NHSkUYhqHtlzriqhwKCgqCVquFwWBg/budhShTp+2XyuHT\n1JFSkfz8fMhkMiiVSrce15viw1U5JBAIEBYWRtTFjyhTp+2XynH11JG0BYkoZfFElQ4AYWFhyMjI\ngNVqdfux2cZVOQSQN6MhxtQ1Gg0sFgt8fX1Z/27afqkcpVIJmUxG3IJElLJ4op8OAHK5HGq1Grm5\nuW4/Ntu4KocA8mY0xJi6rfXC5kqENmilXjWkBSSlIp4ydcB74oNPOUSMqbuq9QJQU68O0qaOlIp4\nqv0CeE988CmHiDF1V90kBWj7pTpIqzIoFaGVet3hUw4RY+q0Uq8aPlUZlIpQU687fMohokzdVYFL\nTb1qvCVpvRnafqk7fMohYkzdle0XlUoFrVbL2Uf32N6GqzSkBSSlIrRSrzt8yiFiTN2V7ReRSAS5\nXA6dTueS73clJpMJVquV9Y1DbHhLJebNUFOvO67Yys5GWFgYMjMziXmenxhTd8oI+vsAACAASURB\nVGWlDnC3BWObNrriUU/Ae5LWWzEYDNDpdAgMDPTI8b3lou/K9otUKoWfnx+ys7Nd8v2OQoypu7oa\n8fHx4aypu2raCFBTJ5309HSEhYW57KJeE94SH3zKIyJM3Ww2Izc3FyEhIS47hlqt5uRjja6cNgJA\nYGAgdDodUQsSUR7jyZukAODn5weTyQStVusxDWzg6jwiaUZDhKlnZmYiODgYIpHIZcfgevvFVZC4\nIBHlMZ7spwMl8VGvXj3Ox4er84hW6uVwR+BSU68akgKSUhZPmzrA/fgwm80wmUxQKBQuOwZJ54gY\nU3f1FJOrb5W68k04GyRNHSll8XT7BeB+fLj6YQOArHNEhKm7+skXgFbq1UFSlUEpC63U6w7fcogI\nU6ftl6rhW0BSykJNve7wLYeIMXXafqkc2n7hN7T9Unf4lkNEmDptv1QN36oMSllopV53+JZDRJi6\nOyp1aupVQ1KVQXmMxWJBZmYmwsLCPKqDJMNyBnfkkI+PD6xWKxEeQ4Spu6NSp+2XquF60norOTk5\n8PPzc9m6P7WF6xd9d+SQ7Xl+EvLI46bOMIxb+oa0Uq8a24JEFovFpcehOAYJrRcACA0NRU5ODsxm\ns6elOIU7cgggpzjyuKnn5+dDKpVCqVS69DjU1KvGtiBRTk6OS49DcQwSbpICgFgsRmBgILKysjwt\nxSncZeqkzGg8buruaL0AtP1SE6RUGZTHkFKpA9yOD77lkMdN3V2BSyv16iElICmPoabODnzLISJM\n3R1TTGrq1UPK1JHyGFLaLwC344NvOeRxU6ftl+rh29SR8hhaqbMD33LI46ZO2y/Vw7epI+Ux1NTZ\ngW855HFTd9cUU6lUwmAwcOqxPYZheDd1pDyGtl/YgW855HFTd1c1IhAIoFKpOLX5tNFohFgshkQi\ncfmxSKkyKI+hlTo7uHorOxshISHIy8tDcXGxy49VHUSYuruqEa5taefqLbhKEx4eztmk9UY0Gg0Y\nhnGLGdUGLu9+5K48EolECA4ORkZGhsuPVR0eN3V33SgFuNdXd9e0EeB20nojtmLHUxtOl8d20WcY\nxtNSHIZveeRRUzcYDNBqtQgMDHTL8Xx8fDhn6u6q1Hx8fMAwDKdmMt4MSa0XAFCpVJBIJCgoKPC0\nFIdxZx6R0KbyqKmnp6cjLCzMbdUIbb9UjUAgIOZGD4Wsm6Q2uBof7m5jevocedzU3VmN0PZL9ZBQ\nZVBKIK1SB7gZHyaTCQzDuG2lSxLOkUdN3d2BS029ekgISEoJ1NTZwR2bTpeGhHPk8UrdnVNMrr1V\n6q434WyQMHWklEDbL+zAxxyilTrB0Eqdv9BKnR34mEPU1AmGjwFJKYGaOjvwMYdo+4Vg+Dh1pJRA\n2y/s4Kkc8uTz/LRSJxg+VhkUoLi4GHl5eQgJCfG0lDJwMT7cnUMKhQIKhQJ5eXluO2Z5qKkTDDV1\nfpKZmYmQkBCIRCJPSykDCW9LOoq7cwjwfB55zNStViuysrIQGhrqtmPS9kv1BAcHIz8/3+MLEvEd\nd66H5AiBgYEoKiqC0Wj0tJRa4+4cAjzfpvKYqWdnZ8PPz89tLwUAtFKvCZFIhJCQEI8vSMR3SLxJ\nCgBCoRBhYWGcqtZppe5GPFGNUFOvGU9XGRQyb5La4Fp88DGHPGbq7l4iAKDtl9rg6SqDQm6lDnAv\nPviYQ2439dTUVJw5c8YeuFar1eU9XIvFgnXr1tkr9by8PEydOtWlx6wLMTExyM7OtlcZGzZscPk5\nMpvNsFqt9oA8f/48bt++7dJjUspy9uxZZGRklMkNUrBarWAYxh4fV69eRWpqqqdlVcmmTZtw8uRJ\new4dOXIEaWlpLj+uyWSyn6OsrCwcOnTI5ccsj9tN/fbt2xg2bJh9ivnZZ5/hl19+cflxv/32W/z9\n99/QaDRYsmQJkpOTXX5MZ0lNTcWiRYug0Whw9epVjB071uXHXL58OaKjo+1Tx+HDh+PGjRsuPy7l\nMTt37kRMTAzS09MREhKCbt264fTp056WBQBYsWIFhg4dao+PESNG4MKFC56WVSUmkwnffvstNBoN\nBAIB+vXr5/JZ+vXr19G+fXsEBgYiPT0dsbGx2LVrl0uPWRkCxs1PyVssFjRp0gRdu3ZFYGAgtm7d\niqtXr8LX19elx92wYQOmTZuG69evIzg4GDt27EDHjh1dekxnuXLlCnr06AGNRoMWLVpgzJgx+Oij\nj1x6TI1GgzZt2uDNN99ERkYGjh49inv37kEsFrv0uJTHpKSk4LnnnrPnx7lz53Do0CEiNsooKipC\n69at0a9fPzx8+BCJiYm4f/8+ZDKZp6VVislkQtOmTREREYHAwEAEBwdj2bJlLj/uO++8g9DQUBw8\neBCFhYXYv38/Wrdu7fLjloHxAN9//z3TtGlTpn79+szmzZvdckyr1cp07tyZAcC88MILbjlmXejZ\nsycDgHnmmWcYi8XilmMmJCQw4eHhTJMmTZjx48e75ZiUsrz00kuMv78/ExgYyFy9etXTcsqwZcsW\npkGDBkzTpk2ZUaNGeVpOjUybNo0JCAhgfH19mUePHrnlmPfv32eCgoIYuVzOREZGuuWY5fGIqaem\npjIAmC5dujBWq9Vtx01KSmIAMKtXr3bbMZ1ly5YtDADmyJEjbj1u9+7dGQBMcnKyW49LKWHVqlUM\nAGbChAmellIpL7zwAgOAuXjxoqel1EhOTg4jFAqZoUOHuvW48+bNYwAwCxcudOtxbXjE1BmGYfr0\n6eORwFi8eDFjNpvdflxHsVqtzC+//OL24964cYPp1auX249LKUGj0TBPP/00o9frPS2lUq5evcp0\n69bN0zJqzYoVKxiNRuPWY5rNZqZ79+5Mdna2W49rw+09dQqFQqG4Do+u/UKhUCgUdqn20Qa9Xo+H\nDx/i4cOHSE9Ph1arhV6vh06ns/9p+5ntT71eD7PZXGdhRqMRly9fhkqlQmRkJA4fPgy1Wo033ngD\nmzZtglKpxJAhQ7BkyRLI5XLExcVhwoQJAIAtW7bggw8+gEajQUJCAgYOHIjs7Gzs2rULQ4YMQVpa\nGvbs2YNhw4bh5s2b2Lt3L0aPHo2LFy9i//79GD9+PE6dOoXExERMmTIFhw4dQmJiImbMmIHdu3cj\nMTERc+fOxdatW7Fo0SJER0dDIBBg+fLlGDlyJHr16oVx48bh5ZdfRvfu3TFlyhS89NJLiIyMxIwZ\nM/Dyyy+jQ4cOiIuLwyuvvIKWLVti0aJFePXVV/Hkk09i+fLl+M9//oPg4GCsWrUKffr0gVqtxtq1\na9G3b1+IRCJs2rQJ7777LgwGA+bMmYPRo0ejqKgII0eOxLJly1BQUIAPP/wQ27dvR1FREV588UWc\nOXMGRUVFaNOmDSvLM4hEIiiVSigUCqhUKigUCiiVyjL/bftdWFgY6tevj/r160OpVNb52J6EYRh8\n9dVX+PXXX7Fnzx5s2bIFCxcuxF9//YV9+/Zh9uzZ2LlzJ44fP46pU6di27Zt+OeffzBp0iRs3rwZ\nt2/fxtdff43169cjPT0dX3zxBVatWgWtVovPPvsM8fHxAIDo6GgsXrwYarUaAwYMwLx58xAeHo73\n338fs2bNQkREBN555x38/PPP6NChA958801MnDgRXbp0Qe/evTFq1CgcP34cp06dwscff4zc3Fyc\nOHECiYmJ+PHHH3HgwAEcOHAAM2fOxM6dO5GYmIgFCxZg8+bN2L9/P+Lj47Fq1Srs27cP69atw7Jl\ny7Bnzx4kJCRg3rx52LVrFw4ePIiZM2ciISEBp0+fxg8//IAtW7bg6tWr+Pbbb7Fx40bcu3cPY8aM\nwZo1a5Cbm4vhw4dj5cqVMJlM+OSTTzB37lzExsbiwYMHmDJlCv7880/o9Xps374dAwYMQG5uLnbu\n3Ino6Gg8ePAAe/bswdChQ3Hr1i3s27cPX3zxBS5fvoz9+/fj66+/xtmzZ5GYmIjvvvsOR48eRWJi\nIqZNm4a9e/ciMTERcXFx2LZtGxITE7F48WKsW7cO8fHx+OOPP7B792589dVXSEpKwtGjR/Hxxx/j\n6tWruHDhAnr06IEHDx7g5s2baN26NSsvNQmFQsjlciiVykr/VzqPQkJC7Dnk5+dX5VNRlbZfxo8f\nj6VLl0Kn0yE0NBQhISEIDAyEQqGATCaDTCaDVCqFTCaDXC63/8/2OzYeg5sxYwZee+013L17FwcP\nHkR0dDTS0tKwb9++MgPdv39/6PV6bNu2DW+99RaEQiH+/PNP9O3bF76+vvjjjz/w+uuvIyQkBL/9\n9ht69uyJRo0aYdmyZXjxxRfRqlUr/PLLL+jWrRs6duyIBQsWIDIyEs899xzmzp2LZ555BlFRUYiL\ni0OHDh3Qs2dPzJ49G61bt0bPnj0RGxuLsWPHYvv27bh27RomTJiAPXv24OLFixgzZgwOHTqE8+fP\n44svvsCpU6dw8uRJjBw5EhcuXMDRo0fx+eef49q1azh48CA++eQT3LlzB/v27cPgwYORkZGBXbt2\nYcCAASgsLMT27dvx/vvvo6ioCPv27YPJZIJUKoWPjw/Cw8MREBAAiUQCtVptDwbbuJT+UyqVQiis\n+yTNbDbDaDTCaDTCYDDAYDDY/9tkMpX5XU5ODrKyspCZmQmFQoHo6GjMnj2biMf1HGXevHmYP38+\nBg0ahOnTp6Nhw4YYOHAgpk+fjvDwcERHR2P69OkIDAzE0KFDMX36dPj5+WH48OGYPn06lEolRo0a\nhenTp0Mmk2HMmDGYPn06xGIxxo4di5kzZwIAvvnmG8yePRsWiwXffPMN4uLiYDKZMG7cOMydOxc6\nnQ7jx4/HwoULUVBQgPHjx2PJkiXIzc3FhAkTEBsbiwYNGqB79+6YO3cuOnXqhKioKMydOxf/+te/\n8NJLLyE2NhZt27ZFr169MHv2bLRq1QpvvvkmZsyYgWbNmqFfv36YPn06GjdujA8//BDTp09H/fr1\n8d///hfTp09HSEgIPvnkE8TExCAgIADDhg1DTEwMfH19MWLECEyfPh0KhQKjR4/GjBkzIJFI8NVX\nX2HGjBkQiUQYO3YsfvrpJ0RFRUGpVGLjxo14++23oVKpsGbNGvTu3RtBQUFYuXIlXn31VTzxxBP4\n9ddf8fLLL6N58+ZYvHgxoqKi0L59eyxcuBCRkZHo1KkT5s2bh2effRbdunVDXFwcOnbsiB49emDO\nnDlo27YtXnvtNcTGxtoLUB8fH4SEhCAsLAwikQgqlQpqtRpyubyM75X2OjZW0bRarfYcKf1n6f/Z\nflZQUGDPoeLiYnTv3h3r16+v8Dh4BVM/cOAA/u///g8LFixAaGiox5Luhx9+wN27dxEXF4f09HS0\nbNkSFosFN2/eRMuWLcEwDJKTk9GyZUsAwI0bN6r87xYtWkAoFOL69eto3rw5RCIRkpOT0bRpU4jF\nYty8eRNNmjSBWCzGrVu38OSTT0IqleL27dt44oknIJPJkJKSgvr160Mul+POnTv2wR86dChCQ0Px\n3XffITs7G40bN4bBYMDDhw/RtGlTGI1G3L9/HxERETCZTLh37x6aNWsGs9mM1NRUNG/eHGazGSkp\nKWjRooX939iqVStYrVb7v7H0v3fy5Mn2BJLL5R4ZH2dhGAbZ2dkYOXIkFixYgFdffdXTkhzmwIED\n6NevH3788Uc0aNAAAQEBUKvVuH//Pnx9feHr64sHDx5ArVbDz88PDx8+hFKphL+/P9LT0yGTyRAQ\nEID09HRIJBIEBQUhMzMTQqEQwcHByMrKAgCEhIQgOzsbVqsVoaGhyMnJQXFxMcLDw5GXlwej0Yjw\n8HDk5+dDp9Ohfv36yM/Ph1arRYMGDbB+/XqsWLECCxYsAIAycd2gQQPI5fIKcR0aGgqlUok7d+4g\nJCQEKpUK9+7dQ2BgINRqNdLS0uDv7w8fHx/cv38fPj4+8PPzw4MHD6BSqeDv749Hjx5BLpfb/41S\nqRSBgYHIyMiAWCyu8O+dM2cOTp48iUWLFiEnJ6fG3L1x4wYiIiIgFovL5PGtW7fQqFEjSCQS3Lp1\nCw0bNqyQu6mpqQgPD8fevXuRkJCA2bNnV1v1kopWq8XMmTPRpk0bzJgxo8zvKpj6lClTcPfuXYwY\nMcKtIstz+fJlDB06FCtXrkSzZs08qqU69u7di59//hm7du1y28JBb7zxBubNm4fGjRu75XiuYPHi\nxQgNDSV6uYaq0Ol06NmzJ5o0aYLRo0d7Wk6V5ObmIjo6Gh999BH69evnaTlVcufOHQwePBgzZ87E\ns88+65Zj/vDDD2jbti3eeecdtxzPFZw5cwYrV65EUlJSmZ9XmIOfO3fOfqVkg08//dSpz3311VcY\nOXJkGUO/ceMGK6+uv/HGGxgyZAj69++P33//vdq/m5CQUOXvCgoKMGnSJMyYMaOMobtSZ2FhIfLz\n8/Hkk0/W+fttODtGdaFly5Y4d+6c24/LBjExMcjJySlT+JAWmwAwa9YsNG/eHO+++y7ROidOnIh3\n3nmnjKG7Wmfp2TwbeCKHWrRogUuXLlVYI6iCqV+9epWIynjYsGFYsWJFmdXOkpOTWVmzRSgU4tdf\nf8Uff/yBLVu2wGAwVPl3qwtIX19fDBo0CLNnzy7zHa7UmZKSgiZNmrDSE/ckzZs3x5UrVzwtwymG\nDBmC4uJibN682f4z0mITAAYMGICLFy/iyJEjROv85JNPsG3btjK6XKmTYRikpKQQ4XN1wc/PD76+\nvrh7926Zn1e4o2kymex92oSEBNy6dQvXrl1Dbm4uZsyYgYiICMycORPXrl2Dn58ffvzxx1qv28Iw\nDKZOnYrU1FQEBQUhJiYGu3btqnCMpk2bYtu2bTCbzfZe17x58+wrntnuvn///ffIzs5Gy5YtMW7c\nOGRnZ2PixIkwm814+umnMXz4cJw9exZHjhxBeno6GjdujM8//9yup/RTOmfPnsX8+fPBMAyio6PR\nuHFj/PTTT7h16xaGDBmCvn37onfv3jh8+DBWrFgBq9WKb7/9FsXFxWVumLha55UrV8pcmT05RlOm\nTEFaWhrkcjlmzpwJlUpV4bNmsxnjx49HQUEBgoODMW3aNIjFYsjlcphMplppIg2z2Qyz2Wy/sJIY\nm5MmTYLZbAbDMPb4JFknALeeT7PZTITP1SWHAFSaRzU+pnLp0iUsWbIEBw8exOHDh/Hw4UMYDAas\nWLEC27dvx++//17r/vvhw4dhNpvx66+/IjY2FseOHav0GEFBQbh58yaGDRtm3yzgiy++QJMmTQAA\nffr0wZo1a+wn/uuvv8bNmzdhNBoxdOhQtGzZEtHR0Rg+fDgAYN++fViyZIm9ZWG1WvHpp58iNTUV\no0aNglwuR15eHmbMmAG9Xo+4uDjMmzcPv/76Kz799FMsXbrU/rnY2FisXr0ajx49wsKFC5GUlITY\n2Fh7gLhaZ1FRERQKBRFjlJycjDVr1uDixYvQaDT2ZCn9Wdt2hfHx8Thx4gT0er3b17dmm1WrVkGh\nUODNN98EQGZsLl26FFKpFO3bt0eXLl2I1pmeno4+ffrYK2d36CyPN+VQjab+6quvQiKRIDAwEKmp\nqUhJSUH79u0BAO3bt3doveA7d+7g4sWL+PTTT6HX6+1PnJQ/hr+/P95++23Mnz8fnTp1QvPmzSt8\n1927d3Hx4kWcO3cOGo3GvllvfHw8FAoF9Hp9mX+DbZBt+ysuXbq0TM/eYrHYH9GqaiqZl5eH/Px8\njBkzBgAglUoxbdo0jBs3Dn/99VelN0qd1Wnboam8TqvVWkGfp8aod+/eGDNmDAICAvDll19W+tmo\nqCg0a9YMX375JRo0aIBOnTrVWgupTJgwAYcOHcL8+fPx1VdfVfi9s2MOlIwvW7E5ceJEDB48GOvX\nr0f//v1Z08kwDKs6Y2JiMGDAADz33HN47rnnWNNZXFwMhmEq1Vkeb8qhCo1ZX19f5Ofn2/9/+RdF\nIiIicOnSJQAlV56IiIha/2MbN26MV199FUuXLsXo0aPtT2+UP0Z6ejquXr2K9u3bo379+vafy2Qy\n+wA++eST+OCDD7B06VJ8+umnCAsLw6pVq/Dxxx9j4sSJZR5RKl3ZTps2zf7I2EcffYTVq1cDKDHP\n2bNnVwh+W6uDYRgEBASgUaNGWLRoEWJjYxEZGYm1a9fixRdfLPNoIRs6P//8c3tFUVrnrl27Kmz8\n66kx8vHxQVxcHIKCgpCYmFjpZ2/cuIF27dohLi4O+fn5OH/+PICS5Pbz86u1LpI4cuQIrly5ghde\neMH+MzbGPDs7G+np6SgoKKhzbHbt2hUHDhyAyWQqYwJs6Dx9+rR9uzY2dG7evBn169cv0+NmQ+dv\nv/1m32+3vE6VSkWEz9UlhxiGQW5uLvz9/ct8bwVT79ixY7V3nbt27QqZTIbBgwcjMTERAwcOrPU/\nNioqCllZWRgyZAgWL15cxrBLExwcjPv376NRo0ZlBum5557DgQMHMHjwYLRq1QrHjx9HdHQ0tmzZ\ngvDwcERFRWHq1KkYM2YM5HK53bxLo9Vq7UEWGRmJO3fuIDMzE127dsXHH3+M5cuXl1lMv2fPnhg8\neDAmT54MoVCI6OhofPrpp/j000/h4+ODBw8eoE2bNmVeuGJDp16vr1TnCy+8gLt371Z7Y8pdY3T8\n+HEMGjQIp06dwnPPPVfpZ23PS3/88cfIysqyry1948YNYtezr4nU1FSoVCo0aNDA/jM2xrygoABA\nydrldY1Nf39/pKWlISwsDCEhIazqtGlgGIYVnXfv3kWjRo3K9KzZ0ml7Yru0zm7dukEmkxHhc3XJ\nIds7D2FhYWW+t8Jz6nFxcUhKSsK4ceNq/Y9wBWlpaejXrx+WLl1qnwaxwejRo5GSkoLt27ez8n2n\nTp3C8OHDkZiYyGrl+fbbb6N+/fr2F0dK88EHH2DixIlo27Yta8dzN3PmzEGHDh08HmfOwDAMevXq\nBZlMhu+//56177W9m7FixQq0aNGizt9nNpvx3nvv4fXXX8eQIUNYUFjCzp078cMPP+DIkSOsvPyW\nn5+PN998E5MnT8ZLL73EgsISZs2ahZ07d1baOpk9ezZCQkIwaNAg1o7nbg4dOoS9e/diz549ZX4u\nmjJlypTSPwgMDMSkSZPg4+MDjUYDk8kEiUTCylohjjBs2DC8+uqreP7557Fx40a0atUKhYWFWLdu\nHVq1agWtVos1a9agRYsWMBgMWL16NZo1a4bi4mL8/vvviIiIgMViwerVq9G4cWMIBAKsWrUKqamp\nyMvLg8ViQf369SGRSLB69WqEhYVBJpNhzZo1CA4OhlKpxNq1a+1vC65fvx4+Pj7w9fXFhg0boFAo\nIBaL8X//93/46quv4OPjg7/++gtt2rTB3bt3sXv3brRu3Rr379/Hjh070Lp1azx69Ajbtm1DmzZt\nkJmZiT///BNPPfUUcnJysGnTJjz11FPIz8/H+vXrcfnyZchkMuTm5qJly5bQarVYu3Ytmjdvjuzs\nbGzduhU+Pj72mYdcLif6MUetVouHDx/i1q1bOHPmDNatW4dp06bZbwJxiUWLFiEhIQGTJ0/G3r17\nYbVaERISgh07dsBoNCIsLAw7d+6ETqdDeHg4du/ejYKCAtSvXx979+5FTk4OGjRogP379yMzMxNP\nPPEEDh06hMuXL+Py5csICgpCYWEhGjVqhGPHjiElJQWNGzfGyZMncf36dTRt2hSnT5/GlStXEBER\ngXPnzuGff/5B8+bN8ffff+PcuXNo0aIFJk2aBIvFgi+//BLr16+3x/W6devg6+sLHx8frF+/3v7m\n68aNG+1vu27atMn+9ueWLVsAlFSW27dvR0pKiv2pEIvFgvDwcOzatQtFRUWoV68e/vrrL+Tn56N+\n/frYt28fsrOz8cQTTyAxMREZGRlo2LAhDh06hPv37+PJJ5/EZ599hrZt2+Ldd9/FqlWr7G9Zr169\nGk2aNAHDMPjjjz/w5JNPQigU4o8//kCDBg0gFouxZs2aMrkbEhIChUKBNWvWIC0tDSkpKVAqlfDx\n8YGPjw82bNgApVKJkJAQzJ8/HwEBAdBoNDCbzawtceIqTCYTMjIykJKSgkuXLuG3337D4MGD8cwz\nz5T5e5Wu/bJ3717Ex8fjwYMHePToER4+fAiGYaBSqSCTySqshVD6T7ZOzKlTp+Dn54f09HTodDo0\natQI2dnZKCgowJNPPomioiJkZWWhYcOGKC4uRnp6Op544gkIhUJoNBr4+vpCoVDAarVCp9PB398f\nJpMJ169fh8ViQZs2beyJptFokJubi6ZNmyI/Px85OTlo0aIFsrOzkZWVhTZt2iAjIwNZWVlo164d\nHj58iKysLHTo0AFnz55Fx44dcf78eft09J9//kFoaCjCwsJw5coVhISEIDg4GDdu3EBwcDD8/f2R\nkpKCwMBA++vW/v7+UCgUyMzMhI+PD65evQqRSISWLVtCJBJBr9fbL6zFxcXIz8+H2WyGxWKBwWCw\n/952AS69Ro9tvEovHMTGNmRms7nMOi/l16/Q6/UwGo3Q6XQASnZZty1I9N///he9evWqswZPsHfv\nXnz44YeIjIzEzZs3kZOTg+effx7Xrl1DXl4eunTpgsuXL6OgoABdu3bFP//8g6KiIkRFReHcuXPQ\n6XSIiorC6dOnYTQaERUVhaSkJGi1WhgMBvv4PP/88zh27BjEYjEiIyNx9OhRyGQydOrUCUeOHIFS\nqcTTTz+No0ePwsfHBx06dMCxY8fg5+eHtm3b4uDBg5BKpXaz9/PzQ+vWre1x3bZtW6SnpyMzMxMd\nO3bE/fv3kZWVhaeffhr37t1DVlYWOnXqhNu3byM7OxudO3fGjRs38ODBA5hMJnvudOvWDRcvXkRB\nQQGioqJw4cIFaDQaREVF4ezZs9Dr9YiKisKpU6dgMpkQFRWFEydOwGq1okuXLkhMTERwcDBEIhHu\n3buHxo0bQy6Xg2EY6PV6+Pr6ori4GBqNBsHBwTAYDCgsLES9evXsG8k3hWTpVAAAIABJREFUbtwY\nBQUFyMnJQfPmzZGTk4ObN2/CYDCgTZs2yM7ORrt27ewbQv/rX//CpUuXoNPpoFAooNFooNPpIBaL\nIZFIIBaLoVQqIRaLIZVKoVKpIJFIIJfLoVarIZPJoFQq67y8gMVigclksudR6Rwqn0dGoxGhoaH2\nPHrxxRcxcuTICsVcpe7bs2dP9OzZ0/7/GYaBVqutsEpj+RUbbX+ysUrjv//9b+zatQutW7dGnz59\nsHbtWkRGRmLQoEFYunSp/W5xbGwsfH19MWXKFHz//fewWq34+eef8dNPP0Gr1SImJgbTp09HdnY2\nZs2ahaZNm+LRo0c4e/YsFi5ciOTkZPzvf//D0qVLcfHiRcyfPx8rV67EyZMnsWvXLqxbtw6HDx9G\nQkIC/vzzT+zZswdbt27Fjh07sG3bNly+fBkfffQR2rRpgw0bNtgXUurbty+GDx+OAQMGoH///hg+\nfDg++OADDBo0CCNGjMD777+PTz75BKNGjcJ7772Hzz//HGPGjEGjRo0wevRoqFQqBAYG4vz58xg/\nfjzUajW+++47TJo0CSKRCD/88AOmTJkCk8mEqVOn4ueff0ZWVpZ9saf09HQMGzYMf/zxB+7fv48B\nAwZgx44duHPnDnr06MFKVW8L/NIryZX+79J/qtVqzq2vURU9e/bEb7/9ht9//x1JSUk4c+YMli1b\nhqSkJHsMnThxAsnJyZgzZw6OHz+Ou3fvIiYmBseOHUNGRoa9fVFQUIDvvvsOhw8fxsaNG/Hjjz9i\n8uTJePXVVzF27FgkJiZCLpdj9OjR2Lt3L/z8/PDFF19g9+7dCA0NxYgRI5CQkIBGjRrh888/x5Yt\nW9CiRQsMGzYMW7duxfnz57Fs2TJs2LABGRkZSEpKwq5du7B+/XocPHgQ27Ztw9atW7F7925s3rwZ\nu3fvxp9//okNGzbg4MGDWL16NU6ePIkTJ05gxYoVSEpKwqhRo7Bp0yb89ttvEAgEmDt3Lk6cOIFb\nt25h1qxZOH78OO7fv4+pU6fi6NGjyMnJweTJk3HkyBFoNBp8++23OHToEMxmM7755hscP34cCxcu\nxMGDB3Hy5Els3boVer0e06ZNQ0xMDHJzczFr1izMmTMHDx48wJw5czB//nzcunUL//vf/7B48WJc\nvnwZ8+bNw4oVK3DmzBn89ddf6NatG86ePYtjx44hISEB+/fvx9atW5GQkICEhARcv34de/fuxcaN\nG7FkyRL78/MxMTE4efIk1qxZg2+++QaXLl3Cpk2b8Mknn+D27dvYsWMH3nnnHVaWBREKhZXmTGU/\n8/X1rV3eunIHDhJp3749IxKJ3LqNnjPI5XLmqaee8rQMihtZtGgR06JFCyY+Pt7TUqpl9OjRTKNG\njZhjx455Wkq1/Oc//2F8fX2ZrKwsT0txK+Q2YV2ETqeDUCgk+m1Gi8VSpm1B4QcajQZKpdL+jgKp\ncEmnrbXCJ3hn6hqNBiqViuiB1ul0nEgaCrtwITYBqpN0eGfqRUVF9id7SMWmsfSzvhTvx3aDn/Rx\n50IOASU6uXA+2YZXpm57EoZ0w9RoNFCr1bBarUS3iSjswhWz5MrFR6PRcOJ8sg2vTN32+JJarSZ6\noG3BqFarodVqPS2H4iY0Gg38/PyIjk3gsalzQScXzifb8MrUbZUQ6Vfv0jpJr4Yo7KHRaBAQEED8\nmBcVFdlf2iEV5v8/hu3v70/8+WQbXpm6ra2hVquJHujSOklOHAq7FBUVwd/fn/gx58LFR6fTQS6X\nE1/AuQLemjrJA80VnRR20Wg0CAwMJH7MuaCTzznEK1PnUvuFCzMKCrvYXoMnecwZhrHrpDlEJrwy\ndS61X7hw8aGwS1FREUJDQ4kec9saQ35+fjSHCIW3pk7yQHNFJ4VdNBoNQkJCiB5zrsQmV3S6At6Z\nOheu3nwOSL5ia2uEhYURPeY0h8iHV6bOlT4bfaSRfxgMBojFYvj5+ZXZ9Yo0aA6RD69MnStXb67o\npLCHbcyFQiGUSiWxL51xJTa5otMV8M7U6dSRQiK22ARA9LjTHCIfXpk6nTpSSMUWmwCIHnebTtts\nguQ2EV9ziFemzpWrN1d0UtjDNuYA+ZW6Wq2GSCSCQqEgds1/PucQ70ydTh0pJMK19gsAovOIzznE\nK1Mv3X4heaD5PHXkK6UrdZLHvXSbiOQ8suWQTSPDMJ6W5DZ4ZepceqOUCxcfCntwxSzLt4lIzaPS\nbSKZTAa9Xu9pSW6Dt6ZO8tWbmjr/4FpPHaA6SYVXpm6bkonFYkilUhgMBk9LqoDZbEZxcbF92VBS\nKyEKu5TvVZM67rYcAsjuqZfXSer5dAW8MnUuTB1tGgUCAe8qDD5D2y/sQit1nsCFgS6t0bYTOqlt\nIgp7cCE2AaqTC/DG1M1mM4xGI5RKJQByp46lKzapVAqhUAij0ehhVRRXU/6RRlIrYC61X7gwo3AF\nvDF1rVYLlUoFgUAAgNyBLp3cANmJQ2GP8m+UkjrmXGq/cOHi4wp4Y+qlgxEgd0rGFZ0UduFKu4AL\nOi0WCwwGAxQKBQBydboK3ph66WkjQO7Vu3TFBpBdDVHYg7Zf2EOr1UKpVEIoLLE3ks+nK+CNqVdW\nAZM40LT9wk9o+4U9+J5DvDZ1EgeaKzop7MKFtobVaoVOp4NKpQJArk6+5xBvTJ22Xygkw4X2S/m2\nBs0hMuGNqdP2C4VkuNB+oTnEDXht6iQONFd0UtiDtjXYhSs6XQVvTJ22XyikotfrIZfLIRKJAABy\nuRzFxcUwm80eVlYWmkPcgDemzpWrN9+njnykfGySuu4PzSFuwGtTJ/HqzZXEobBH+coSIHPcaQ5x\nA96YOp06UkilfGUJkDnu5XNIqVTCaDTCYrF4UFVF+J5DvDF1rly9+T515CPlYxMgc9wraxOpVCpo\ntVoPqqoI33OI16ZO4tWbKxcfCntwtf0CkJlHfM8h3pg6bb9QSIWr7ReAzDwqn0NKpRI6nQ5Wq9WD\nqtwHb0ydK1dvruiksEdVFTBp485VnUKhEEqlkrg2kavgramrVCoir9587wfykcraLySOO5faL1yY\nUbgKXpl66YEWCoVQKBTQ6XQeVFUWk8kEoGTHIxskVkIUdqmq/ULauHPFLLkyo3AVvDF1LtyMqkoj\naZUQhV24UgFzIYcAmke8MXUuJE5VFZtWq6WbT3sxtP3CLlyZUbgKXpi6yWSC1WqFTCYr83PSBrqy\npBGJRJDJZNDr9R5SRXE1tP3CLrT9wgNsg2zbdNoGaQNdWcUGkFkNUdiDKxUwbb9wA16ZenlIG+jK\nKiGAzGqIwh60/cIettUt5XJ5mZ+TeD5dBW9MnQtmWd3FhySdFHah7Rf20Gq1nJiVuxJemHp1bQ2S\nBpq2X/gJFypggBvtF5pDPDF1rlTAXJlRUNiFCwt6mc1mmEwmKBSKMj+nOUQevDd1kq7eXLn4UNiF\nCxWwVquFSqWqtK1Bc4gseGHqlS1EBJB39aZTR37ChQW9aA5xB16YOleu3nTqyD8sFgsMBkOFtgZp\nY05ziDvw3tRJunpzJXEo7KHVaqFUKiEUlk1F2/o/tvWAPA3NIe7AC1OnU0cKqVRVWQJkjTvNIe7A\nC1PnytWbKzop7FHVmANkjTtXYpMrOl0J702dpKs37Qfyj6oqS4Csca8qh2QyGcxmM4qLiz2gqiI0\nh3hi6nTqSCEVrrdfBAIBUXlEc4gnps6VKRlXdFLYg+vtF4AbOknS6Gp4b+okXb3p1JF/cL39ApCV\nR1XlkEKhgMlkgtls9oAq98ILU6ftFwqpcL39ApCVR1XlkEAg4E21zgtTr6rKUCgUMBqNsFgsHlBV\nFoZh6NSRh3C9rQFQnaTBa1MXCARQqVREDLTBYIBUKoVYLK7wO5IqIQq70PYLu1Q38yHpfLoSXpg6\nF6aO1SU3SUlDYRfafmEXmkc8MHVbW0OlUlX6e1KmZNVVQkqlEnq9nog2EYVduNIuoDq5g9ebutFo\nhEgksq+lUR5SBrq6ik0oFEKlUkGn07lZFcXVVGdCJFXAXDFL2n7hgalXN20ESgaahClZddNGgD9T\nR75RXXySNOY1tV9I0MkwDG2/gAemXl2FAZBTZXBFJ4VduFQBk67TZDJBIBAQPyt3NdTUCRno6qaN\nAH+mjnyDtl/Yg+ZQCV5v6rT9QiEZ2n5hD5pDJXi9qXOpUueCTgq7cKECNplMYBiG+LYGzaESqKkT\nMtBc0UlhFy6Yuk1j+U2nbZCmsypI0elqeGHqXGi/0H4gP+HCSz00h7iF15t6bfpsJAw07Qfyj+Li\nYpjNZshkskp/r1KpUFRUBIZh3KysLDSHuIXXmzpXpmRc0UlhD61WW21bQyKRQCKRwGAwuFlZWbgS\nm1zR6Wp4Yep06kghkZqezALIGHeaQ9zC602dTh0ppFJTZQmQMe41xaZtpVMutIk8fS7dgdebOlem\nZFzRSWGP2pq6p8e9Jp1SqRRCoRAmk8mNqipCc6gEXpg6nTpSSMRb2i8AGXlEc6gErzd12n6hkIq3\ntF8AMvKI5lAJXm/qXJmScUUnhT28pf0CcEOnVCoFwzAebxO5GmrqhFy96dSRf9SmAiZh3Lkyo6gp\nhwQCARHn09V4vanX1LeUyWSwWq0evXpbrVZotVoolcoq/w4JSUNhl9r0qkkYd670/mvbJvL0+XQ1\nXm/qNVUZAoEAarUaWq3WjarKotPpoFAoIBKJqvw7JExvKeziLW0NgOokCd6bOuD5ga7t0wXeHox8\nozaxScK4cyGHAJpHNrza1BmGsb+KXR2efhyrNtNGuVwOk8kEs9nsJlUUV1ObtgYJ7YLatl9I0Enb\nL15u6jqdDjKZrNq2BuD5KqM2lZCtTeTtVQaf4FIFTHVyB6829doMMuDcQF+6dMlZWRXgik4Ku7jK\nhNgecy7oZBiGEzrdgVebem2mjYDjU8e8vDwMHDgQd+7cqYO6x3BFJ4VdXNHWcMWYc0GnXq+HVCqF\nWCyu9u95Wqc78GpTr82VOzk5GWq1GoWFhbX+3oCAAAwcOBALFy6sq0QA3NFJYZeaxt025o5Ulq4Y\n89rqdMQsPZlDntTpDnht6ufOncOAAQOgVquh0+mq/HvlV5+LiYnB6dOnkZCQgH379vFGJ4Vdqhv3\n0mNenam7esxramuU1lndY8Ek5ZAndboDrzb16qaNDMPg3//+N55//nncvHkTRUVFsFqtlf690psY\npKen4+LFi4iPj8eUKVMQFxfnNp3Z2dke1Ulhl6rGvfSYb9myxaNjbjAYIBaLIZFIqtV58OBBTuTQ\n33//7fU55NWmXv7qbbFY7P9tG7xx48YhNTUVGRkZEAqFFa7UAoEAJ0+exNSpU5GYmAiJRIILFy5A\npVKhf//+EAgEWLBggVt0ZmVl4eHDhx7TSWGX0uNe1ZgfPHgQhYWFxMfmmTNnkJeXR7zOa9euITs7\n26tziFembnu08eDBgzAajQCAevXqoU2bNjhw4ACAssEAADdu3MDo0aPRsWNHjBw5EpmZmXjppZcw\nduxYWK1WBAQEYN++fZVe+dnW2bhxY2zatMljOinsUnrcqxrzXr16IS8vDwDZsRkVFYVbt24Rr/Pf\n//43Tp8+7TGd7sCrTb2wsLDMQJ8/fx7du3dHbGwsxo8fbx+cPn36ICsrCydPnoRYLAbDMDhz5gyK\ni4tx9+5d9O7dG0KhEMXFxdiyZQsmT54MjUaDrl27ol27dti8eTOEQudPZW11dunSBQ8ePPCYTgp7\n2PYdlUqlAKoe8wkTJqC4uBgnTpwgOjY///xzaLVa4nOof//+yMvL8+ocqv75Hw5jWyRLrVbj3r17\n9t7gwIED8dprr6F37944cOAAevToAZVKhSeeeAIbN26EUCjEiBEjUK9ePfTu3RvPPvssli1bhuzs\nbFy7dg1xcXHIycnB4sWLUVBQAD8/P7fqfOqppzyik8Iejoy5UCiETCbD2rVrIRaLiY5NiUTCiRwK\nDAz06hwSMJ7eWNCFfPPNN7h27Rr0ej0kEgnGjRuHjIwMrF27Fh07dsSZM2cwf/58XLp0CUuWLMGu\nXbsQHx8PgUCAwYMHIysrCyEhIRg1ahQaNGiA69evIyMjA/PmzUNERARrOvv27YvAwEDcvXu3Wp2b\nNm1CWloa5s+f7xGdFPZITk5GZGQknn766WrHvGnTpggJCcGlS5ewa9cut4/5jh07MHbsWDzxxBPV\n6gwKCkLDhg1RWFjokdiMi4vDli1bIJVKq9WZnZ2NoUOH4sKFC16bQ15TqZe/c52QkIAtW7aguLgY\nkyZNQvPmzbFy5Uq89dZb6NWrF+rXr4/Nmzfj3r17sFqtOH/+PJKTk3HkyBG8/vrrAEqmdKNHj8bi\nxYuRnZ2N06dP4/3332ddZ1JSEvz9/TF27NhqdQoEAvz1119u0Ulhj8rGfMGCBTAYDOjfv3+1Y+7r\n6wuDwYCLFy96JDZjYmKQmZlZY2yqVCoUFRXhxo0bHtEZHx+PnJwc/Pjjj9XqlEqluH37tlfnkNeY\num2QDx8+DJFIBK1WC6vVimHDhmHNmjXYu3cv/vjjD8yZMwd3795Fy5YtMWzYMERERODRo0eQSqU4\nceIE+vbtixkzZqB9+/ZISkqyv6HWpEkTNGnSxGU6f/zxRyxevLhanWlpafD19XWLTgp7VDbmQqEQ\nLVq0qDE2g4OD4evri6SkJI/EJgC88MILNeoMCwuDWCzGoUOHPKazf//+Neq0fd6bc4jT7Rer1Qqh\nUGjvqcXHx+Phw4d47bXX8OKLL6JevXqYMGECLBYLzGYzevfujZkzZ+LRo0eYPHkykpOTsX//fkyY\nMAF9+/ZFkyZN8PPPP+PmzZu4ePEiLl++jLi4ODRr1sylOn19fbF69WrcunWrWp1vv/02li9fDovF\n4hKdFPaoacw7deoEsViMfv36VTvmq1atQmRkJBiGwcKFC90em23atEHHjh3xzDPP1KgzODgY7du3\nx8yZM92us3HjxhgwYACCgoKq1Tlv3jw0btwYnTt39t4cYjiI1Wqt8N9Wq5Xp2LEjM2TIEPvvnn76\naaZ79+5McXEx07NnTyYtLY0ZMmQI0717d6ZZs2YMwzDMe++9x2zcuJFp2LAhM3r0aKZPnz6MTqdj\nLBaL23SGh4czffr0qVFnbGws8/LLL7Ouk8IetR3ziRMnMg0aNKhxzI8cOcK89tprzFtvveWR2Pzv\nf//LPPXUU7XS2bRpU2bw4MEe0fnKK68wnTp1qlHngQMHGJFIxIwaNcprc4jsZ3PKYXssyTb9Wrt2\nLV555RUsWLAAd+7cQWxsLO7fvw+gpO+mUChgsVhw48YN7NixAw8fPoREIsHBgwfRtWtXLF++HOPG\njcOKFSuQlZUFo9GIgQMHQqFQ1OmxJUd1WiyWWuncunUrkpOTWdNJYQ9Hx7xly5YQCoU1jvmcOXPw\n8OFDaLVaj8RmgwYNAKBWOvV6PTQajUd0+vv7g2GYGnXOnTsXQMmy3F6bQ568ojhC6St2Xl4ec+rU\nKeb1119nTpw4waxcuZJ5++23GbPZzERHRzOrVq1iGIZhOnTowEyaNImZOHEic+HCBWbTpk3MwIED\nGYZhmIKCAqZevXpMRkYGc+zYMUYoFDK5ubke0alQKJj58+fXqHPNmjVMeHg4k5eXV2edFPZwZswX\nLVrEREVF1Tjmp06dYiIjI5n58+d7ROeoUaOYfv361Upn06ZNmd27d3tEZ69evZgRI0bUSqdKpWJu\n3rxZZ52kwplLlEAgQEFBAQYNGoR3330XqampCA8PR+fOnTFw4EA0bNgQZ86cwbBhw7Bz504AwKNH\nj3D8+HF06dIFw4YNQ+vWrXHx4kX89ddfSEtLg0Qiwfr169GlSxeIxeJqN352lU6LxQKDwYA9e/bU\nqPP555+HVCqFv79/nXVS2MOZ2Dx69Cju379f45h36tQJzz77LCtvMTqj859//sGNGzdqpbNZs2Zl\nnkpxp86UlBScO3euVjpDQkJq3DiHy3DG1P/++2/ExMQgIiICsbGxOHLkCJKSknDo0CEIBALk5+cj\nLCwMERER6N69O4CSNZa7d++OCxcuQKvVIj09HdOmTcOxY8cQHR2NefPmYeTIkQDY247LUZ0ajQZS\nqRQvv/xyjTr5sBUXF3EmNgsLC9GiRYtaxSZb4+6MzqKiInTo0IHoHAIArVaL559/3q3nk1Q4Y+p+\nfn5ISUmBQqFA+/bt8cYbb0AqlSImJgZvvfUWRCIRDh8+jJkzZ6KgoAAAYDQasXHjRvj4+ODUqVM4\ncOAAunTpgp9//hmnTp3Cm2++af9+tra5clSnRqOBXC7HihUratTJh624uIgzsWkwGPDPP/8QHZtA\nSQ4dPXqUEzp37NjhVp2kwpnn1Js0aYL33nsPmZmZyMrKQufOnTFo0CCoVCp0794dzZs3x+rVq5GQ\nkIBLly7BYrGguLgY3bp1AwD07t0brVq1sq/3UH6ayNZAO6ozOTkZoaGh6Nq1a406ZTIZAMBkMtnX\nDKF4HkfHHAAaN25s30S8ptj08fHBo0ePPKLT39/f/pgfqTkEAEKhEJGRkbXS6ePj49WmzpkbpQzD\nMLm5ucycOXOYDRs2MAzDMJmZmWV+b7VamU6dOjFpaWlMQUEBo1arGa1Wy1y8eJE5ceJEtd8dGRlZ\n499xhc4zZ84wTz/9dK11BgQEMNnZ2azopLCHI2POMAzTv39/ZsWKFbUa8/j4eGbQoEEe0fmvf/2L\nOXbsWK10jh8/npk2bZpHdKpUKiY9Pb1WOvv27cts2rSJFZ0kwpn2C1CytVS7du0QFhYGAAgJCSnz\ne4FAgOXLl9tXVlOr1VAqlWjXrh06d+5c7XezOSXjik4Kezgy5kDJUrFBQUFEx6ZNZ3BwMNE6rVYr\ndDqdR3SSCGfaLzZ69OhR7R32du3aQSAQ4MqVKzXuWVgatge6tjpt+ybWFm8PSC5T2zG/detWrfbU\ntOGp2HRGZ2ZmJlsya63z0qVLUCgUtX6ixdtziFOVOoBaPTK1ZMkSBAYG1rgDemnYunNvo7Y6fXx8\nPKqTwh61HfNmzZpVu/1aeTwVm1zRGRoaSnOoFJwz9dogEokcqjAAz1y9uaKTwh62atKTlXptEIlE\n9nVWVCpVrT5Dc4gMvNLUAceSBvDcQHNFJ4VdSDd1oOQ9D7lcTnxbg+ZQWbza1LkwJXNkegt4/9SR\nLzja1vCUWXIhNmkOlcVrTb2oqIgTV29aZfAPhmGg0Wgcamt4yiy5EJs0h8ritabOlYHmik4KexgM\nBkilUvumDDWhVCphNBphsVhcrKwsXIlNruh0F15t6lyYktGpI/9wdMwFAgFUKpV9hx93QXOIm3it\nqdOpI4VUHB1zwDMtGJpD3MRrTZ0rA80VnRT2cNbU3T3ujupUKpXQ6/WsLBPsCDSHyuLVpu7IlMyT\nN6Po1JFfOFoBA555AsbRHBIKhVAoFG5vE9EcKovXmrqjiePJx8ZolcEvHDVLgBvtF8BzFx+aQ4/x\nWlPnykBzRSeFPby1/QJwQ6dKpYJOp3N7m8hdeLWp0/YLhUS4VAFzZUbhiE6RSAS5XA6dTudCVZ7D\na03dmTv3Wq0WDMO4UFVFaKXOP7hklly5+HBhRuEuvNbUHR1okUgEmUwGvV7vQlVlMZlMsFgs9h2N\naoM3ByNf4IoJUZ3cxKtNnfRqyKbRkR3YafuF+3CpAiY9hwDH2y+Ad+eR15o6FxLHmQpDpVJBo9G4\nvU1EYQ8umSXpOQTQSr08XmnqxcXFMJvNkMvlDn3O3QPtTDBKJBJIJBIYDAYXqaK4Gq6YENXJTbzS\n1LVaLdRqtUNtDcAzpu5oxQbwYDd0L8cZE+JS+4ULOr05h7zS1J1JGsD9fTZnpreA5x6/pLCDMz1g\nrlTA7s4hs9kMo9EIhULh0Oe8OYe80tTrYpakt18A75468oH/1975x0ZR5n/8vbM/Zmdmty39BbQe\nLZQrpQX0TIhRe8bjvHDR8zgvJhCj9Qh36GnuLCb3g4ieoodCzpBoNJw5UDjjKbm7YBrRKJpWKIoX\nqmfNNa3YgnBAu7Sw/bE/58f3D74z191uK+w8O7vPw/NKNpTuzDPvzvN83s/zfGbmGVYX9AKcb5vm\n6/YKfVbuJEyaerZpDZ5+4TgBT7+Qg8fQVJg1dZ5+4RQqNKRfNE1DLBa77LQGj6H8w6Sp8/QLp5Ch\nIf0yMTEBWZYhCJdnETyG8g+Tps7TL5xChob0C48hemHW1GmYkvGp45WHruuIRCKX/NJpE5pGwDyG\n8guTpp5tRdPwRCnA9tSRdSKRCCRJuuy0hiiKUFUVyWQyR8pS4TFEL0yaOi0VTYtODjmyrXOXy+Vo\nvdPSNmnR6STMmnq2+UCnp47Z5gNZnTqyTrYjYMDZUTCPIXph0tT51JFTqGRrloCzhpltDEmShEQi\nAVVVc6BqKjyGpsKkqdNS0bTo5JAj2zoHnK13u2kip14+zWNoKsyaOp86cgoR1tMvgPMzCh5DqTBp\n6jz9wilUaDJLWjqfbNNEsVgMmqblQFV+YdLUaTFLWnRyyMF6+gWgQ6cgCFAUxbE0kZMwa+rZjIZk\nWUY0GoWu6zlQlYphGLZmFKxOHVmHphEwLTOKbHWyGkfMmnq2vbcsy4703vF4HG63Gz6f77L35SN1\nerFrloU+AgboSL8A7MYRk6ZuZzTkVEXzxnhlYrfeacip09L5sBpHTJo6DVNHO9NGMxfoRJqIQxae\nfiELT79MhTlTTyQSAJBVWgOgY6TudrshSRIikQhhVZxcQ8vIkuukF+ZM3c5ICHBuNGSnMQLsNkjW\noWkETMuMgpt6KsyZup2gAehIvwDsTh1ZhyazLPTOJ5FIQNd1iKKY1f6sxhCTpk7DCJgWnRyy0DKy\npEGnqfFyXzptwmoMMWfqPP3CKWRoGAEDdMwoeAxlhjlT5+kXTiFDg1kmk0moqgq/35/V/jyG8guT\npk5D702LTg5ZaEhrTExMUJHW4DGUGeZMnadfOIUMDekXHkN0w5w2so8LAAAUkUlEQVSpk0i/ONUg\n7U4dWWyQLKNpGuLxOCRJymp/s20ahkFYWSo8huiGSVO323vTMBpyeu13jn3Gx8ehKErWaQ2fzwdB\nEKwH7HIFjyG64aaeBp86cnKF3ZEl4Ey98xiiG+ZM3e4VcT515OQKuyYEOHPHBo8humHO1PnUkVOo\n2K1zgI6Rus/ng67rOU8T8RjKDDf1NPjUkZMrrpT0i8vlciSOeAxlhjlT51NHTqFypaRfAOc6Hx5D\nU2HO1Hn6hVOoXCnpF8CZ9mn3fIqiCFVVkUwmCarKP9zU0+BPw3FyBSmzpMXUC12ny+ViMo6YM3W7\nvbckSUgkElBVlaCqVAzDwMTEBBRFyboMFhsj65DKqRf6CBhwJrVBS+fjNMyZut3AcaL3jkQiEEUR\nHo8n6zJYXYyIZWgyS1o6H7s6WYwjJk290HtvGjRyyENLvXOddMOUqRuGQewOg0I3dVmWEY/HoWka\nIVWcXEPTCLjQYwjgpj4dTJl6LBaD1+u1ldYAch84JKaNLpcLiqIw1yBZhiazpKXz4emXqTBl6iR6\nboCO9AvA5iiDZWgZWdKg05yV27nZAGAzhpgydRIjIYCO9AvAZoNkGZpGwIU+o4jH43C73fD5fLbK\nYTGGmDJ1EkED0JF+AdicOrIMDWYJ0NH58BiaHuZMnYYRMC06OWShIa0B0KGTx9D0cFPPAE+/cHIB\nDQt6mSsr2k1r8BjKH0yZOqkpGZ86cnIBqfQLDW2Tx1D+YMrUaem9adHJIQtPa5CDFp35gJt6BvjU\nkUOaRCIBXdchiqKtcsxnE3L18mkeQ/TDlKnzqSOnUDFNKNuXTpt4PB6IoohoNEpIWSo8huiHKVOn\npfemRSeHHKTqHMhtvdPSNmnRmQ+4qWeAN0gOaa5UUy/0NBGLMcSUqdMyJaNFJ4ccpOocyG29k9Jp\nrsEUi8UIqJoKj6HpYcrUaem9adHJIceVNlIH6NDJYgxxU88AN3UOaa40swTo0JnrNFE+YMrUSU7J\ncm3qNOjkkINUnQN0pF+A3LZPUufT5/NBEATrSVoWYMrUSfbeuc6p06CTQw5SdQ7QMQIGcts+SZ9P\nluKIm3oGfD4fDMPISe+taRqi0ShkWbZdFk+/0MOVltYAuM58wZSpk5o6ulyunE0dI5EIFEWBINg/\n9Tz9Qg88/UIW0ueTpThiytRpmDryaeOVCU+/kIXH0fQwY+q6rlujYBLkKnBIBo0oitA0jamLPKxC\nS7qA66QfZkw9Go1CkiQiaQ0gd1MyktNGM000MTFBpDxO7qAlXcB10g8zpk5yOgbQkX4B2Js6sgot\n6QIadBqGgYmJCaKzcpZiiBlTJzkdA+hIvwDsTR1ZhZZ0AQ06I5EIRFGE2+0mUh5rMUS9qQ8ODqK5\nuRmjo6MIBALo6enBY489lnV5f/nLX/Duu+9aU7K1a9fiww8/tK3zyJEjuPvuu62g+eCDD7Bjx46s\ny9u8eTO6u7utUcbNN9+MU6dO2dbJIcu9996Lzs5Oq94ffPBBhEKhrMo6c+YMHnroIWtN9fb2dvzi\nF78gonPFihX4+uuvMT4+Do/Hg5aWlqzLOnr0KLZu3WrF0M6dO7FlyxbbGlVVxTXXXINQKIRAIIDT\np0/joYceyrq8ffv24bXXXrNMfePGjfj73/9uW2e+od7UKysrMTExgQMHDiAYDOLhhx9GWVlZ1uXV\n1tbil7/8JSRJwsDAANra2nDttdfa1rls2TK8++67+PLLLyHLMu6//37U1tZmXV5FRQVaW1sRCATQ\n0dGB4eFhVFdX29bJIcv111+Pbdu2YWxsDEeOHMHBgwdRWlqaVVnl5eV455138Pnnn2NsbAzPPPMM\nbrjhBiI6r776ajz//PMYHx/Hyy+/bCsdUVNTgz/96U8Ih8MIh8PYsmULbr75ZtsaPR4Pqqur8dpr\nryEYDGLTpk2QJCnr8urq6tDa2gqPx4OhoSHs2LGD2PnMJy6DgUUP9uzZg+3bt8PtdmN0dBRffPGF\nrRfn3n777RgbG4OmabjhhhuwdetWIjo3bdqE9vZ2uN1uSJKEd955J+uyVFXFsmXLEAgEoGkaHnjg\nAaxbt46ITg45IpEIampqrDp/6aWX8IMf/CDr8tra2rBhwwYkEgkkEgkcP34cfr/fts6BgQEsX77c\nuk/9o48+wre//e2sy3v22WfxxhtvQNM0eDwefPzxx7ZfEAIABw4cwP333w9BEDA6Oore3l4UFxdn\nXd59992H3t5eaJqG2tpa/PWvf7WtMe8YDBCPx41Zs2YZkiQZ+/bts11eT0+PIcuy4ff7ja+//pqA\nwoucPn3a8Pv9hizLRnd3t+3y3nrrLUOWZaOoqMiIRqMEFHJywcaNGw2Xy2XccssttsvSdd1obm42\nBEEwHn/8cQLq/sdtt91mCIJgtLa22i4rFosZVVVVhiiKxt/+9jcC6i6i67qxYMECw+fzGS+++KLt\n8s6ePWsoimJIkmQcPXqUgML8w4SpG4Zh3HXXXcZVV11l6LpOpLzvfe97xrJly4iUNZlrr73WuPHG\nG4mUpeu6UVNTY9x5551EyuPkhlOnThkul8v49NNPiZR3+PBhQxAEY3BwkEh5Jm1tbYbH4zGGh4eJ\nlPfcc88Zfr/fSCQSRMozeeSRR4yioiIjmUwSKa+lpcWoqqoiUlYhwET6BYD1EI6dHNtkVFWFpmm2\nXxScTjwehyAI8Hq9RMqLRqPw+XzE7gTg5AaSt+DlorxclZsLnYZhEFs/CbjoHfF4nFh5+YYZU+dw\nOBwO4Mm3gMshGo3i3LlzOHfuHIaHh6Fp2rTbmk9bBgIByLIMt9uNaDRqfSKRCHRdt61JEARIkpTy\nMZcsGB8fx9jY2IwL8AuCgGAwCEVRrBFNLBazNEajUSIL+JsX6iRJgizLKf9KksRH+jZRVRUjIyNW\n+4xGozNuL4qiVe+SJCGRSKTUOamlH0RRTKlr8xVzExMTGB0d/cbjyLJs6fT5fIjH45bGSCQCVVWJ\n6PT7/SntURAERCIRRCIRhMPhGWMdABRFQSAQgKIo8Hq9U2Lom/a/FFwuV0qcp8cRqdm3XQrW1DVN\nw65du/Dee++hq6sLp0+fhqZpKC0tRUlJCYqLixGNRnH+/HkYhmFNoeLxOFRVRTKZhK7r8Hq91vsS\n/X4/JEmCoigIBoPweOz/+fF4HGfOnEEikbAakNvtto4RCASs3wuCAF3XrTsXVFWFqqowDMPS6PP5\n4PP5IMuyVQYJwzXPTywWQywWQzweRzQatf7v9Xqt81NRUYHq6mrrc8cdd+A73/mObQ0s0dnZiVdf\nfRWffPIJ+vv7MTY2huLiYsyaNQslJSVwu90IhUJQVRW6riOZTCIWiyGZTCKZTEJVVbjdbqt9+nw+\niKJomZMkSbbvFjEMA6FQCKOjo5YZJ5NJyLKMQCCAYDAIQRAQDoetfVRVtWLI/Hg8Hqt9iqJoGXBR\nURGR9KSu6zhz5syUAZd5LoLBIHRdT7nNMplMpujUNM3S6PV6LZ2KoqCoqIiI4eq6bnmMGT+T4wgA\nJEmC3+9HaWkpqqqqUFVVhauuugo33ngjbr/9diJ3AH0TBZt+efLJJ7F3717ceeedaGhowNy5cyHL\nsnVSenp68Ktf/Qo//elPMXfuXFRUVKC8vByzZs2yTqzX6835SdywYQM8Hg9WrlyJhoYGlJeXp9xi\n9t577+G5557DqlWrUFlZiYqKClRUVKC4uBiSJEEURXg8HkcqezqM/1873gz88+fPIxQKIRQK4cyZ\nM3jzzTdx6NAhNDY25k1jIfHFF1/gpptuQktLC5YuXYra2tqUzlfXdaxbtw5z5szB0qVLrTovLy+H\noijw+/2OXAfp6urCxo0bsXbtWjQ1NWHevHmWkQMX892rV69Gc3Mz5s+fb+ksKyuDLMuWTlLrKU3H\nq6++iv3792PNmjVYvHgx5s6dC0VRrJj473//i5aWFqxatQpVVVWWztLSUivWfT5f3mPI7BBjsRgu\nXLiAc+fOIRQKYWhoCPv378emTZvw85//POdaCtbU58+fj6effnrae2WfffZZlJSU5PXe7AsXLmDV\nqlU4cODAtCOBX//61/jxj3+MW265xWF15Hj++efxrW99C08++WS+pRQEGzduxNDQEB544IGM3/f3\n96O1tRX79u3LuSHOxObNm1FfX481a9Zk/L69vR179+7Fiy++6LCyVFavXo1HH30US5Ysyfj97t27\ncfbsWfzud79zWBk5Dh8+jNdffx2dnZ05P1ZBPlEaDocxODiIBQsWALj4wEVbW1vKNr29vWhqaiJ2\nzPXr11/2Pn19faivr59xatfX1zdtY82GbHTapbGxEV1dXY4ft1Dp6uqase319fVh8eLFxAw92zrv\n6+tL0ZkeR4UQQ/F4HKdOnUJ9ff2026T/HXbJVwx1d3cTuY73TRSkqf/73/9GfX39tNNTwzDQ19eH\nRYsWOawsld7e3hk1DA8PI5FIYPbs2Q6qIs+iRYvw2Wef5VtGwfDZZ5/NWO+9vb0zmpQTqKqKgYEB\nLFy4cNptvqn9OsFXX32FefPmzfgEeCHotEtJSQmCwSAGBgZyfqyCvFA6NDSEioqKlN8dO3YM69ev\nx8jICJ566ilEo1HMmjULwMURyLFjx9DT04ORkRFs3boVdXV12LZtG3p6elBcXIzNmzejqKjoko5v\nGAb++Mc/YmBgAGVlZXj66aexf//+KccYGRlBeXm5tV88Hsfvf/97hMNhlJeX42c/+xmKioqsXF++\ndC5YsACPP/44Tp48Cb/fj23btkFRlCn7qqqaon/Lli3weDyorKzMehEqFgmFQintM73eRVFMmWXm\no85LS0vh8XimPLcxOY5EUbT+jnzG0OR10dPP5VNPPYWzZ8/mXafdGAIurlM1ODiIurq6S9KWLQU5\nUgcw5aJHd3c3XnjhBaxfvx7t7e0zft/R0YGDBw8iFovh5ZdfxooVK7Bnz55LPnZHRwdUVcXOnTsx\nZ84cHDp0KOMx4vF4io7+/n4AwK5du/CTn/wEbW1tU6bg+dAZDofR19eHnTt34r777sP4+HjGfdP1\nm7fl5fMCVKEyU72fOHEi5ft81Pno6GjGW2EnbxeJRPKuc2JiIiUlkX4u9+zZA0EQ8q7TbgwBzsVR\nwZp6OitXroTX60VpaWnGBjv5+2Qyif7+fixbtgzAxRUSzZN9KRw/fhyff/451q9fj08//RQjIyMZ\nj5F+O1dDQwMWLlyIDRs24PDhwzh//vyUFFI+dJaUlOBHP/oRHn74Ybz55ptQFCXjvun6ST2dyzrp\n5y393u981HlxcXHGnP7k7dLv3c6HTvO+cpP0cxkKhab8HTyGZqYgTd3tdiOZTKb8bvIjvO3t7QCQ\n0ijTH/Gtq6tDd3c3gIu97uVMeWpra7Fy5Uq89NJLaG1ttZbITT9GNBpN0dnb24ulS5di+/btuHDh\nAubNm4d4PD7t3+GUzrNnzyIYDGL79u0oKyvD+++/n3HfdP3mxdFkMskfTppEevtMP2+BQCDl+3zU\n+blz56Bp2pTBz+TtzPvW86kzHA6nPMCUfi7r6upgGEbeddqNIcC5OCpIU6+vr5/xgsI111wDSZJw\n8uTJabdpbm6GKIpYu3Yt3n//fdxzzz2XfPybbroJoVAI69atw44dO1BVVZVxu4aGBvT29lr/r66u\nxhtvvIGWlhaEQiGsXr0aoVBoxqf2nNBZXl6Ozs5O3HvvvThy5Aiuu+66jPum6zfvS+/v75/xgtuV\nxsKFC1PaZ/p5W758OY4dOzbt/k7UeU1NDQDMeC2kuLh4xjhzQufSpUtTRtbp5/LWW29FMBjE8ePH\n86rTbgxpmoaBgQFHLqAX5H3qqqqiqKgIb7/99rSv1vrNb36D73//+/jhD3/osLr/0dvbi0cffRR7\n9+6ddpvVq1fjiSeeQENDg4PKyPLPf/4Tp06dwu7du/MtpSC46667sHDhQqxatSrj9x999BFeeeUV\n/PnPf3ZYWSoPPvgg1qxZg+9+97sZv3/99dfx1Vdf4ZFHHnFY2f8wDAMrVqzAP/7xj2lfHrJt2zZU\nVVXh7rvvdlgdOU6cOIENGzbgxIkTOT9WQY7UPR4Prr76auuiRSaamppw8OBBIuuiZMuCBQswODg4\nY0U1NTWho6PDQVVk0XUdnZ2duO666/ItpWC4/vrr0dnZOW3bM2dw+b5jqKmpacZXMS5ZsgSffPKJ\n9Yh7PnC5XGhsbMTBgwen3aapqQmHDh0isn5Lvvjwww+xfPlyR45VkCN14OJo57bbbkNNTQ0WLVqE\nOXPmWOtqlJSUwOfz4Q9/+ANCoVDK4/dlZWXWo8OiKFprQKT/6/f7ieS33n77bezevRsNDQ1YvHgx\nKisrU3RGIhE89thj0HUd5eXlqKiosLZJ15NJK6kX7E5+hNlc+8X8d/LP5no6w8PD1jIBjY2NOHDg\nAJE37LBANBpFc3MzhoeHsWTJEsybNy+lzktKSrB//37s3bvXqnPzYy4TkKnOJ/9M4rH30dFR/Pa3\nv4XH40FTUxPmz5+forO4uBi7du1CR0cHZs+ePWU5g0wxk/47Ektc9PX14YknnkB1dTUaGxtRXV2d\nolNRFDzzzDP48ssvLZ2VlZVTYj39PE7WTGKdp8nrS02OGTOmJsdTOBy2FncbGhqCy+XCBx984Mj9\n9gVr6gAwNjaGrq4uHD16FCdPnkQoFEpZpdFctEvTtJSPIAgQBMEKDrfbbV1BNw0yHo8T6fnNtdHN\nizlutxsulwuaplmLDum6bo3qjIsvJoFhGJYuc50a8/8ulytl8S8ST6HNtEqjLMvWR1EUzJ49G9XV\n1daCRHPmzOG3NaahaRr+85//4F//+hf6+vpS2mYoFEI0Gs3YNoGLbcZcHMusd/P3ZtmkVmk0Owfz\noqkgCNY6JbFYzPr95Pap6zoEQbAWHPP5fPB6vZY+s42ai5PZxeVyWes0JZPJlPZv6jRjKP2THuse\njydFJwBrATUSOqdbpdH82Vx1s6Kiwoofc1EvEh3LJeksZFPncDgczuVRkDl1DofD4WQHN3UOh8Nh\nCG7qHA6HwxD/Byv3r9R/mQMjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6ad3617f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## \n",
    "lensesTree\n",
    "## \n",
    "treePlotter.createPlot(lensesTree)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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if/7mGQwJMIPMqBPi4+Oxc+dO9OnTB3w+H7NmzRLK3r59K/wQ9yECg8zn85GWliZMCvnQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa6ad4762e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##P50 示例  使用UCI data 评估预测 银行客户信用 \n",
    "\n",
    "fr=open('lense5.txt')\n",
    "## \n",
    "lenses=[inst.strip().split('\\t') for inst in fr.readlines()]\n",
    "## \n",
    "#lensesLabels=['age', 'prescript', 'astigmatic', 'tearRate']\n",
    "lensesLabels=['Duration', 'Age', 'OtherInstall', 'housing', 'ExistCreditNum', 'Job', 'MaintainPeople', 'Class']\n",
    "## \n",
    "lensesTree = tree.createTree(lenses,lensesLabels)\n",
    "## \n",
    "lensesTree\n",
    "## \n",
    "treePlotter.createPlot(lensesTree)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
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